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Finding the Third Proportional to 71,659 and 155,589

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Solution

The third proportional to 71,659 and 155,589 is: 337,821.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,659 : 155,589 = 155,589 : x
  2. Step 2: Convert to fraction form
    71,659/155,589 = 155,589/x
  3. Step 3: Cross multiply
    71,659x = 155,589 × 155,589
  4. Step 4: Simplify right side
    71,659x = 24,207,936,921
  5. Step 5: Solve for x
    x = 24,207,936,921/71,659
  6. Step 6: Final answer
    x = 337,821.31

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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.