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Finding the Third Proportional to 126,125.44 and 187,391.81

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Solution

The third proportional to 126,125.44 and 187,391.81 is: 278,418.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,125.44 : 187,391.81 = 187,391.81 : x
  2. Step 2: Convert to fraction form
    126,125.44/187,391.81 = 187,391.81/x
  3. Step 3: Cross multiply
    126,125.44x = 187,391.81 × 187,391.81
  4. Step 4: Simplify right side
    126,125.44x = 35,115,691,392.04
  5. Step 5: Solve for x
    x = 35,115,691,392.04/126,125.44
  6. Step 6: Final answer
    x = 278,418.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.