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Finding the Third Proportional to 67,854 and 93,761

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Solution

The third proportional to 67,854 and 93,761 is: 129,559.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,854 : 93,761 = 93,761 : x
  2. Step 2: Convert to fraction form
    67,854/93,761 = 93,761/x
  3. Step 3: Cross multiply
    67,854x = 93,761 × 93,761
  4. Step 4: Simplify right side
    67,854x = 8,791,125,121
  5. Step 5: Solve for x
    x = 8,791,125,121/67,854
  6. Step 6: Final answer
    x = 129,559.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.