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Finding the Third Proportional to 71,614.50 and 156,837

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Solution

The third proportional to 71,614.50 and 156,837 is: 343,475.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,614.50 : 156,837 = 156,837 : x
  2. Step 2: Convert to fraction form
    71,614.50/156,837 = 156,837/x
  3. Step 3: Cross multiply
    71,614.50x = 156,837 × 156,837
  4. Step 4: Simplify right side
    71,614.50x = 24,597,844,569
  5. Step 5: Solve for x
    x = 24,597,844,569/71,614.50
  6. Step 6: Final answer
    x = 343,475.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.