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Finding the Third Proportional to 126,481 and 169,249.50

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Solution

The third proportional to 126,481 and 169,249.50 is: 226,479.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,481 : 169,249.50 = 169,249.50 : x
  2. Step 2: Convert to fraction form
    126,481/169,249.50 = 169,249.50/x
  3. Step 3: Cross multiply
    126,481x = 169,249.50 × 169,249.50
  4. Step 4: Simplify right side
    126,481x = 28,645,393,250.25
  5. Step 5: Solve for x
    x = 28,645,393,250.25/126,481
  6. Step 6: Final answer
    x = 226,479.81

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.