Answer:
x=25
Step-by-step explanation:
It is given that the ratio [tex]125:x[/tex] is equivalent to the ratio [tex]x^2:125[/tex].
Then, it can be written as:
[tex]125:x=x^2:125[/tex]
⇒[tex]\frac{125}{x}=\frac{x^2}{125}[/tex]
⇒[tex]x^3=5^3{\times}5^3[/tex]
⇒[tex]x^3=5^6[/tex]
⇒[tex]x^3=((5)^2)^3[/tex]
⇒[tex]x=(5)^2[/tex]
⇒[tex]x=25[/tex]
Thus, the value of x will be 25.
