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Finding the Third Proportional to 102,514 and 156,711

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Solution

The third proportional to 102,514 and 156,711 is: 239,560.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,514 : 156,711 = 156,711 : x
  2. Step 2: Convert to fraction form
    102,514/156,711 = 156,711/x
  3. Step 3: Cross multiply
    102,514x = 156,711 × 156,711
  4. Step 4: Simplify right side
    102,514x = 24,558,337,521
  5. Step 5: Solve for x
    x = 24,558,337,521/102,514
  6. Step 6: Final answer
    x = 239,560.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.