@iholcombe, what, exactly, do you mean by "becomes extremely large?" If you don't change the display zoom (PPI) and double the DPI, the image will expand to four times the size. Each "dot" or pixel becomes four. So on your screen, if you hold the same zoom level, the image will now be four times as large, in area, as it was originally.
In any event, you are going to have an adventure with what you need to do unless you have the original pictures in a higher resolution. The challenge with going from lower DPI to higher DPI is that you cannot add information to a picture that isn't there. Consider this: if you increase from 150 DPI to 300 DPI and try to hold the same size image, what goes into those extra 150 dots in each inch? What the software will try to do is to use the existing dot/pixel and simply duplicate it in each axis. It will end up expanding each dot to four dots. But the new "dots" now are larger, so you get what is called "pixelation." Each pixel (picture element on the screen, or "dot") now appears to be four times as large as it was. So if your publisher needs 300 DPI images and you send them 150, or 150 stretched to 300, the printed images could be pixelated and show "jaggies" or rough edges, in the printed picture. It all depends on how large the printed picture ends up in size. (The same argument applies for the 75 DPI images, except that each dot/pixel now expands to 16 dot/pixels (four in each axis).)