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Finding the Third Proportional to 71,581 and 164,531

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Solution

The third proportional to 71,581 and 164,531 is: 378,179.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,581 : 164,531 = 164,531 : x
  2. Step 2: Convert to fraction form
    71,581/164,531 = 164,531/x
  3. Step 3: Cross multiply
    71,581x = 164,531 × 164,531
  4. Step 4: Simplify right side
    71,581x = 27,070,449,961
  5. Step 5: Solve for x
    x = 27,070,449,961/71,581
  6. Step 6: Final answer
    x = 378,179.26

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.