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Finding the Third Proportional to 71,676 and 155,619

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Solution

The third proportional to 71,676 and 155,619 is: 337,871.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,676 : 155,619 = 155,619 : x
  2. Step 2: Convert to fraction form
    71,676/155,619 = 155,619/x
  3. Step 3: Cross multiply
    71,676x = 155,619 × 155,619
  4. Step 4: Simplify right side
    71,676x = 24,217,273,161
  5. Step 5: Solve for x
    x = 24,217,273,161/71,676
  6. Step 6: Final answer
    x = 337,871.44

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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.