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Finding the Third Proportional to 41,772.38 and 87,918.75

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Solution

The third proportional to 41,772.38 and 87,918.75 is: 185,043.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,772.38 : 87,918.75 = 87,918.75 : x
  2. Step 2: Convert to fraction form
    41,772.38/87,918.75 = 87,918.75/x
  3. Step 3: Cross multiply
    41,772.38x = 87,918.75 × 87,918.75
  4. Step 4: Simplify right side
    41,772.38x = 7,729,706,601.56
  5. Step 5: Solve for x
    x = 7,729,706,601.56/41,772.38
  6. Step 6: Final answer
    x = 185,043.50

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.