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Finding the Third Proportional to 71,016.75 and 156,043.97

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Solution

The third proportional to 71,016.75 and 156,043.97 is: 342,872.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,016.75 : 156,043.97 = 156,043.97 : x
  2. Step 2: Convert to fraction form
    71,016.75/156,043.97 = 156,043.97/x
  3. Step 3: Cross multiply
    71,016.75x = 156,043.97 × 156,043.97
  4. Step 4: Simplify right side
    71,016.75x = 24,349,720,183.25
  5. Step 5: Solve for x
    x = 24,349,720,183.25/71,016.75
  6. Step 6: Final answer
    x = 342,872.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.