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Finding the Third Proportional to 71,589 and 155,475

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Solution

The third proportional to 71,589 and 155,475 is: 337,656.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,589 : 155,475 = 155,475 : x
  2. Step 2: Convert to fraction form
    71,589/155,475 = 155,475/x
  3. Step 3: Cross multiply
    71,589x = 155,475 × 155,475
  4. Step 4: Simplify right side
    71,589x = 24,172,475,625
  5. Step 5: Solve for x
    x = 24,172,475,625/71,589
  6. Step 6: Final answer
    x = 337,656.28

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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.