It's raining fives

Logic Level 2

$\left(\color{#20A900}{\square}5\right)^2 = \color{#3D99F6}{\square}25$

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 $n?$