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Finding the Third Proportional to 42,443.25 and 87,576.75

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Solution

The third proportional to 42,443.25 and 87,576.75 is: 180,704.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,443.25 : 87,576.75 = 87,576.75 : x
  2. Step 2: Convert to fraction form
    42,443.25/87,576.75 = 87,576.75/x
  3. Step 3: Cross multiply
    42,443.25x = 87,576.75 × 87,576.75
  4. Step 4: Simplify right side
    42,443.25x = 7,669,687,140.56
  5. Step 5: Solve for x
    x = 7,669,687,140.56/42,443.25
  6. Step 6: Final answer
    x = 180,704.52

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.