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Finding the Third Proportional to 77,134 and 156,414

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Solution

The third proportional to 77,134 and 156,414 is: 317,179.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,134 : 156,414 = 156,414 : x
  2. Step 2: Convert to fraction form
    77,134/156,414 = 156,414/x
  3. Step 3: Cross multiply
    77,134x = 156,414 × 156,414
  4. Step 4: Simplify right side
    77,134x = 24,465,339,396
  5. Step 5: Solve for x
    x = 24,465,339,396/77,134
  6. Step 6: Final answer
    x = 317,179.71

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.