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Finding the Third Proportional to 124,902 and 270,864

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Solution

The third proportional to 124,902 and 270,864 is: 587,398.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,902 : 270,864 = 270,864 : x
  2. Step 2: Convert to fraction form
    124,902/270,864 = 270,864/x
  3. Step 3: Cross multiply
    124,902x = 270,864 × 270,864
  4. Step 4: Simplify right side
    124,902x = 73,367,306,496
  5. Step 5: Solve for x
    x = 73,367,306,496/124,902
  6. Step 6: Final answer
    x = 587,398.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.