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Finding the Third Proportional to 71,591 and 155,479

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Solution

The third proportional to 71,591 and 155,479 is: 337,664.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,591 : 155,479 = 155,479 : x
  2. Step 2: Convert to fraction form
    71,591/155,479 = 155,479/x
  3. Step 3: Cross multiply
    71,591x = 155,479 × 155,479
  4. Step 4: Simplify right side
    71,591x = 24,173,719,441
  5. Step 5: Solve for x
    x = 24,173,719,441/71,591
  6. Step 6: Final answer
    x = 337,664.22

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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.