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Finding the Third Proportional to 71,584 and 155,470

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Solution

The third proportional to 71,584 and 155,470 is: 337,658.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,584 : 155,470 = 155,470 : x
  2. Step 2: Convert to fraction form
    71,584/155,470 = 155,470/x
  3. Step 3: Cross multiply
    71,584x = 155,470 × 155,470
  4. Step 4: Simplify right side
    71,584x = 24,170,920,900
  5. Step 5: Solve for x
    x = 24,170,920,900/71,584
  6. Step 6: Final answer
    x = 337,658.15

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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.