Verified Answer :

mariamikayla

\(125:x=x^2:125 \\ \\ \frac{125}{x}=\frac{x^2}{125} \\ \\ x*x^2=125*125 \\ \\ x^3= 5^3*5^3 \\ \\ x^3=5^6 \\ \\ x^3=(5^2)^3 \\ \\ x^3=25^3 \\\\ \boxed{x=25}\)

boffeemadrid

Answer:

x=25

Step-by-step explanation:

It is given that the ratio \(125:x\) is equivalent to the ratio \(x^2:125\).

Then, it can be written as:

\(125:x=x^2:125\)

⇒\(\frac{125}{x}=\frac{x^2}{125}\)

⇒\(x^3=5^3{\times}5^3\)

⇒\(x^3=5^6\)

⇒\(x^3=((5)^2)^3\)

⇒\(x=(5)^2\)

⇒\(x=25\)

Thus, the value of x will be 25.

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