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Finding the Third Proportional to 126,714.38 and 275,329.13

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Solution

The third proportional to 126,714.38 and 275,329.13 is: 598,244.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,714.38 : 275,329.13 = 275,329.13 : x
  2. Step 2: Convert to fraction form
    126,714.38/275,329.13 = 275,329.13/x
  3. Step 3: Cross multiply
    126,714.38x = 275,329.13 × 275,329.13
  4. Step 4: Simplify right side
    126,714.38x = 75,806,127,073.27
  5. Step 5: Solve for x
    x = 75,806,127,073.27/126,714.38
  6. Step 6: Final answer
    x = 598,244.10

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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.