Well, darling, the number between 100 and 150 is 125. It's right smack dab in the middle, like the cherry on top of a sundae. So there you have it, plain and simple.
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150
139
520%/100% * 150 = 5.2 * 150 = 780
It is 100 that is a perfect square between 50 and 150
The difference is 150.