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Finding the Third Proportional to 75,086 and 133,478

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Solution

The third proportional to 75,086 and 133,478 is: 237,279.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,086 : 133,478 = 133,478 : x
  2. Step 2: Convert to fraction form
    75,086/133,478 = 133,478/x
  3. Step 3: Cross multiply
    75,086x = 133,478 × 133,478
  4. Step 4: Simplify right side
    75,086x = 17,816,376,484
  5. Step 5: Solve for x
    x = 17,816,376,484/75,086
  6. Step 6: Final answer
    x = 237,279.61

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.