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Finding the Third Proportional to 126,456.19 and 187,768.13

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Solution

The third proportional to 126,456.19 and 187,768.13 is: 278,806.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,456.19 : 187,768.13 = 187,768.13 : x
  2. Step 2: Convert to fraction form
    126,456.19/187,768.13 = 187,768.13/x
  3. Step 3: Cross multiply
    126,456.19x = 187,768.13 × 187,768.13
  4. Step 4: Simplify right side
    126,456.19x = 35,256,868,766.02
  5. Step 5: Solve for x
    x = 35,256,868,766.02/126,456.19
  6. Step 6: Final answer
    x = 278,806.99

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.