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Finding the Third Proportional to 41,181.75 and 83,861.25

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Solution

The third proportional to 41,181.75 and 83,861.25 is: 170,772.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,181.75 : 83,861.25 = 83,861.25 : x
  2. Step 2: Convert to fraction form
    41,181.75/83,861.25 = 83,861.25/x
  3. Step 3: Cross multiply
    41,181.75x = 83,861.25 × 83,861.25
  4. Step 4: Simplify right side
    41,181.75x = 7,032,709,251.56
  5. Step 5: Solve for x
    x = 7,032,709,251.56/41,181.75
  6. Step 6: Final answer
    x = 170,772.47

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.