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Finding the Third Proportional to 71,092.13 and 164,581.13

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Solution

The third proportional to 71,092.13 and 164,581.13 is: 381,011.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,092.13 : 164,581.13 = 164,581.13 : x
  2. Step 2: Convert to fraction form
    71,092.13/164,581.13 = 164,581.13/x
  3. Step 3: Cross multiply
    71,092.13x = 164,581.13 × 164,581.13
  4. Step 4: Simplify right side
    71,092.13x = 27,086,946,706.27
  5. Step 5: Solve for x
    x = 27,086,946,706.27/71,092.13
  6. Step 6: Final answer
    x = 381,011.92

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.