Finding the Third Proportional to 61,242 and 131,233
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Solution
The third proportional to 61,242 and 131,233 is: 281,213.88
Step by Step Solution
- Step 1: Write the proportion equation
61,242 : 131,233 = 131,233 : x - Step 2: Convert to fraction form
61,242/131,233 = 131,233/x - Step 3: Cross multiply
61,242x = 131,233 × 131,233 - Step 4: Simplify right side
61,242x = 17,222,100,289 - Step 5: Solve for x
x = 17,222,100,289/61,242 - Step 6: Final answer
x = 281,213.88
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.