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Finding the Third Proportional to 126,228 and 188,874

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Solution

The third proportional to 126,228 and 188,874 is: 282,610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,228 : 188,874 = 188,874 : x
  2. Step 2: Convert to fraction form
    126,228/188,874 = 188,874/x
  3. Step 3: Cross multiply
    126,228x = 188,874 × 188,874
  4. Step 4: Simplify right side
    126,228x = 35,673,387,876
  5. Step 5: Solve for x
    x = 35,673,387,876/126,228
  6. Step 6: Final answer
    x = 282,610.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.