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Finding the Third Proportional to 89,332 and 133,902

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Solution

The third proportional to 89,332 and 133,902 is: 200,709.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,332 : 133,902 = 133,902 : x
  2. Step 2: Convert to fraction form
    89,332/133,902 = 133,902/x
  3. Step 3: Cross multiply
    89,332x = 133,902 × 133,902
  4. Step 4: Simplify right side
    89,332x = 17,929,745,604
  5. Step 5: Solve for x
    x = 17,929,745,604/89,332
  6. Step 6: Final answer
    x = 200,709.10

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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.