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Finding the Third Proportional to 71,496 and 108,781

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Solution

The third proportional to 71,496 and 108,781 is: 165,510.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,496 : 108,781 = 108,781 : x
  2. Step 2: Convert to fraction form
    71,496/108,781 = 108,781/x
  3. Step 3: Cross multiply
    71,496x = 108,781 × 108,781
  4. Step 4: Simplify right side
    71,496x = 11,833,305,961
  5. Step 5: Solve for x
    x = 11,833,305,961/71,496
  6. Step 6: Final answer
    x = 165,510.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.