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Finding the Third Proportional to 62,632 and 131,418

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Solution

The third proportional to 62,632 and 131,418 is: 275,748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,632 : 131,418 = 131,418 : x
  2. Step 2: Convert to fraction form
    62,632/131,418 = 131,418/x
  3. Step 3: Cross multiply
    62,632x = 131,418 × 131,418
  4. Step 4: Simplify right side
    62,632x = 17,270,690,724
  5. Step 5: Solve for x
    x = 17,270,690,724/62,632
  6. Step 6: Final answer
    x = 275,748.67

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.