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Finding the Third Proportional to 132,642.56 and 187,505.72

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Solution

The third proportional to 132,642.56 and 187,505.72 is: 265,061.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,642.56 : 187,505.72 = 187,505.72 : x
  2. Step 2: Convert to fraction form
    132,642.56/187,505.72 = 187,505.72/x
  3. Step 3: Cross multiply
    132,642.56x = 187,505.72 × 187,505.72
  4. Step 4: Simplify right side
    132,642.56x = 35,158,394,563.95
  5. Step 5: Solve for x
    x = 35,158,394,563.95/132,642.56
  6. Step 6: Final answer
    x = 265,061.18

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.