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Finding the Third Proportional to 126,892.50 and 270,249

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Solution

The third proportional to 126,892.50 and 270,249 is: 575,562.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,892.50 : 270,249 = 270,249 : x
  2. Step 2: Convert to fraction form
    126,892.50/270,249 = 270,249/x
  3. Step 3: Cross multiply
    126,892.50x = 270,249 × 270,249
  4. Step 4: Simplify right side
    126,892.50x = 73,034,522,001
  5. Step 5: Solve for x
    x = 73,034,522,001/126,892.50
  6. Step 6: Final answer
    x = 575,562.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.