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Finding the Third Proportional to 71,862 and 151,165

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Solution

The third proportional to 71,862 and 151,165 is: 317,982.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,862 : 151,165 = 151,165 : x
  2. Step 2: Convert to fraction form
    71,862/151,165 = 151,165/x
  3. Step 3: Cross multiply
    71,862x = 151,165 × 151,165
  4. Step 4: Simplify right side
    71,862x = 22,850,857,225
  5. Step 5: Solve for x
    x = 22,850,857,225/71,862
  6. Step 6: Final answer
    x = 317,982.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.