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Finding the Third Proportional to 67,304 and 89,742

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Solution

The third proportional to 67,304 and 89,742 is: 119,660.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,304 : 89,742 = 89,742 : x
  2. Step 2: Convert to fraction form
    67,304/89,742 = 89,742/x
  3. Step 3: Cross multiply
    67,304x = 89,742 × 89,742
  4. Step 4: Simplify right side
    67,304x = 8,053,626,564
  5. Step 5: Solve for x
    x = 8,053,626,564/67,304
  6. Step 6: Final answer
    x = 119,660.44

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.