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Finding the Third Proportional to 142,701.75 and 187,687.13

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Solution

The third proportional to 142,701.75 and 187,687.13 is: 246,853.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,701.75 : 187,687.13 = 187,687.13 : x
  2. Step 2: Convert to fraction form
    142,701.75/187,687.13 = 187,687.13/x
  3. Step 3: Cross multiply
    142,701.75x = 187,687.13 × 187,687.13
  4. Step 4: Simplify right side
    142,701.75x = 35,226,456,890.77
  5. Step 5: Solve for x
    x = 35,226,456,890.77/142,701.75
  6. Step 6: Final answer
    x = 246,853.71

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.