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Finding the Third Proportional to 41,188.50 and 73,515.09

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Solution

The third proportional to 41,188.50 and 73,515.09 is: 131,213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,188.50 : 73,515.09 = 73,515.09 : x
  2. Step 2: Convert to fraction form
    41,188.50/73,515.09 = 73,515.09/x
  3. Step 3: Cross multiply
    41,188.50x = 73,515.09 × 73,515.09
  4. Step 4: Simplify right side
    41,188.50x = 5,404,469,009.07
  5. Step 5: Solve for x
    x = 5,404,469,009.07/41,188.50
  6. Step 6: Final answer
    x = 131,213.06

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.