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Finding the Third Proportional to 126,901.69 and 192,385.13

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Solution

The third proportional to 126,901.69 and 192,385.13 is: 291,659.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,901.69 : 192,385.13 = 192,385.13 : x
  2. Step 2: Convert to fraction form
    126,901.69/192,385.13 = 192,385.13/x
  3. Step 3: Cross multiply
    126,901.69x = 192,385.13 × 192,385.13
  4. Step 4: Simplify right side
    126,901.69x = 37,012,036,321.27
  5. Step 5: Solve for x
    x = 37,012,036,321.27/126,901.69
  6. Step 6: Final answer
    x = 291,659.13

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.