Your Supermatic, serial number 725,189, shipped as I said before as a catalog number 9119. Catalog number 9119 is the 6.75" barrel S-101 Supermatic that shipped to the US Government order 2570 on 7/30/1957. This information is taken directly from the High Standard factory serial number log.
All 101 series pistols whether .22 short or .22 LR had the same dimensions for the magazine well and all High Standard lip style magazines whether .22 short or .22 LR will fit.
One potential problem with magazine fit in 101 series pistols is that during the period of your pistol , the magazines were cadmium plated. These magazines have a history of deforming from rust between the inner and outer shells.
One outside possibility is that the grip screws are too long and intrude into the magazine well area but if the Triple K magaine will fir that is not likely.
If you search you will find a lot of commentary about the magazines manufactred by Triple K. If you had done this in advance of buying the Triple K magaizne you might have decided not to make that purchase.
The difference between .22 short and .22 LR magaines is the .22 short magazine has an insert staked inside the inner front shell to account for the difference of length between the two cartridges.
You might be able to get a proper .22 short magazine from Interarms Texas.
I don't think any current books will help with your problem. Books can be a good investment but there are known errors in most High Stadnard books.