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Finding the Third Proportional to 71,272 and 108,588

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Solution

The third proportional to 71,272 and 108,588 is: 165,441.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,272 : 108,588 = 108,588 : x
  2. Step 2: Convert to fraction form
    71,272/108,588 = 108,588/x
  3. Step 3: Cross multiply
    71,272x = 108,588 × 108,588
  4. Step 4: Simplify right side
    71,272x = 11,791,353,744
  5. Step 5: Solve for x
    x = 11,791,353,744/71,272
  6. Step 6: Final answer
    x = 165,441.60

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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.