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Finding the Third Proportional to 100,497 and 156,279

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Solution

The third proportional to 100,497 and 156,279 is: 243,023.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,497 : 156,279 = 156,279 : x
  2. Step 2: Convert to fraction form
    100,497/156,279 = 156,279/x
  3. Step 3: Cross multiply
    100,497x = 156,279 × 156,279
  4. Step 4: Simplify right side
    100,497x = 24,423,125,841
  5. Step 5: Solve for x
    x = 24,423,125,841/100,497
  6. Step 6: Final answer
    x = 243,023.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.