It's raining fives

Logic Level 2

$\left(\color{green}{\square}5\right)^2 = \color{blue}{\square}25$

Each square above represents a positive integer. Let $$m$$ and $$n$$ denote the values that fill in the green and blue squares, respectively, satisfying the equation. Then what is the relationship between $$m$$ and $$n?$$

Details and Assumptions:

• This is an arithmetic puzzle, where $$1 \square$$ would represent the 2-digit number 19 if $$\square = 9$$. It does not represent the algebraic expression $$1 \times \square$$.
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