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Finding the Third Proportional to 71,501 and 155,452

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Solution

The third proportional to 71,501 and 155,452 is: 337,971.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,501 : 155,452 = 155,452 : x
  2. Step 2: Convert to fraction form
    71,501/155,452 = 155,452/x
  3. Step 3: Cross multiply
    71,501x = 155,452 × 155,452
  4. Step 4: Simplify right side
    71,501x = 24,165,324,304
  5. Step 5: Solve for x
    x = 24,165,324,304/71,501
  6. Step 6: Final answer
    x = 337,971.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.