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Finding the Third Proportional to 62,418 and 93,531

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Solution

The third proportional to 62,418 and 93,531 is: 140,152.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,418 : 93,531 = 93,531 : x
  2. Step 2: Convert to fraction form
    62,418/93,531 = 93,531/x
  3. Step 3: Cross multiply
    62,418x = 93,531 × 93,531
  4. Step 4: Simplify right side
    62,418x = 8,748,047,961
  5. Step 5: Solve for x
    x = 8,748,047,961/62,418
  6. Step 6: Final answer
    x = 140,152.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.