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Finding the Third Proportional to 67,861 and 93,769

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Solution

The third proportional to 67,861 and 93,769 is: 129,568.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,861 : 93,769 = 93,769 : x
  2. Step 2: Convert to fraction form
    67,861/93,769 = 93,769/x
  3. Step 3: Cross multiply
    67,861x = 93,769 × 93,769
  4. Step 4: Simplify right side
    67,861x = 8,792,625,361
  5. Step 5: Solve for x
    x = 8,792,625,361/67,861
  6. Step 6: Final answer
    x = 129,568.17

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Why These Related Problems?

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