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Finding the Third Proportional to 89,584 and 129,497

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Solution

The third proportional to 89,584 and 129,497 is: 187,192.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,584 : 129,497 = 129,497 : x
  2. Step 2: Convert to fraction form
    89,584/129,497 = 129,497/x
  3. Step 3: Cross multiply
    89,584x = 129,497 × 129,497
  4. Step 4: Simplify right side
    89,584x = 16,769,473,009
  5. Step 5: Solve for x
    x = 16,769,473,009/89,584
  6. Step 6: Final answer
    x = 187,192.72

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.