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Finding the Third Proportional to 75,972 and 156,801

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Solution

The third proportional to 75,972 and 156,801 is: 323,626.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,972 : 156,801 = 156,801 : x
  2. Step 2: Convert to fraction form
    75,972/156,801 = 156,801/x
  3. Step 3: Cross multiply
    75,972x = 156,801 × 156,801
  4. Step 4: Simplify right side
    75,972x = 24,586,553,601
  5. Step 5: Solve for x
    x = 24,586,553,601/75,972
  6. Step 6: Final answer
    x = 323,626.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.