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Finding the Third Proportional to 72,900 and 156,872

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Solution

The third proportional to 72,900 and 156,872 is: 337,569.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,900 : 156,872 = 156,872 : x
  2. Step 2: Convert to fraction form
    72,900/156,872 = 156,872/x
  3. Step 3: Cross multiply
    72,900x = 156,872 × 156,872
  4. Step 4: Simplify right side
    72,900x = 24,608,824,384
  5. Step 5: Solve for x
    x = 24,608,824,384/72,900
  6. Step 6: Final answer
    x = 337,569.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.