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Finding the Third Proportional to 61,918 and 92,730

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Solution

The third proportional to 61,918 and 92,730 is: 138,874.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,918 : 92,730 = 92,730 : x
  2. Step 2: Convert to fraction form
    61,918/92,730 = 92,730/x
  3. Step 3: Cross multiply
    61,918x = 92,730 × 92,730
  4. Step 4: Simplify right side
    61,918x = 8,598,852,900
  5. Step 5: Solve for x
    x = 8,598,852,900/61,918
  6. Step 6: Final answer
    x = 138,874.85

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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.