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Finding the Third Proportional to 125,236.13 and 187,854.19

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Solution

The third proportional to 125,236.13 and 187,854.19 is: 281,781.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,236.13 : 187,854.19 = 187,854.19 : x
  2. Step 2: Convert to fraction form
    125,236.13/187,854.19 = 187,854.19/x
  3. Step 3: Cross multiply
    125,236.13x = 187,854.19 × 187,854.19
  4. Step 4: Simplify right side
    125,236.13x = 35,289,195,761.29
  5. Step 5: Solve for x
    x = 35,289,195,761.29/125,236.13
  6. Step 6: Final answer
    x = 281,781.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.