So, what's to be done? You could follow the advise of commenter Mark N. and just play it at 45 RPM and pretend it's Vanilla Fudge covering the Beach Boys. That might be fun for a spin or two, but once the quaaludes wear off it might not be so amusing anymore.
There is another solution. You could record the tracks to your computer and then once they've been digitized, manipulate them digitally so that they play back properly. However, there are couple tricks to doing this that are necessary in order for them to sound right.
First, you'll need to record the tracks. If you've never digitized a record before, I recommend doing a little research on best practices. If you have a CD recorder, you could just record to that, then load the tracks on your computer. There are numerous programs you can use to make recordings directly to your computer, including a free one called Audacity.
For simplicity's sake, I recommend recording at 45 RPM and setting the digital sampling rate to 44.1 kHz (this is the standard for CDs, so if you went the CD-R route you're good). Once you have made this recording, if you use any de-clicking software, I recommend running it through the de-clicker at the slower speed.
The next step will be to change the sampling rate without resampling. This will change the speed at which your computer plays back the recording. Assuming you recorded at 44,100 Hz, you'll want to change the sampling rate to 76,440 Hz. (If you recorded at some other sampling rate, simply multiply the original sampling rate by 1.733333...) Again, it is important that you do not resample when you change the sampling rate. Most audio programs will offer the ability to change the sampling rate without resampling, but you'll need to check your owner's manual for how to do this.
Or you could just let someone else do the work and wait for the result to show up somewhere on the web. But what is the fun in that?
Merry Record Store Day!
**Update: I offered some bad advice, but it wasn't my fault, it has to do with the screwy way (I suspect) that Capitol cut this. See my updated post for details.