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Finding the Third Proportional to 38,134 and 80,192

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Solution

The third proportional to 38,134 and 80,192 is: 168,635.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,134 : 80,192 = 80,192 : x
  2. Step 2: Convert to fraction form
    38,134/80,192 = 80,192/x
  3. Step 3: Cross multiply
    38,134x = 80,192 × 80,192
  4. Step 4: Simplify right side
    38,134x = 6,430,756,864
  5. Step 5: Solve for x
    x = 6,430,756,864/38,134
  6. Step 6: Final answer
    x = 168,635.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.