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Finding the Third Proportional to 41,179.50 and 83,817

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Solution

The third proportional to 41,179.50 and 83,817 is: 170,601.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,179.50 : 83,817 = 83,817 : x
  2. Step 2: Convert to fraction form
    41,179.50/83,817 = 83,817/x
  3. Step 3: Cross multiply
    41,179.50x = 83,817 × 83,817
  4. Step 4: Simplify right side
    41,179.50x = 7,025,289,489
  5. Step 5: Solve for x
    x = 7,025,289,489/41,179.50
  6. Step 6: Final answer
    x = 170,601.62

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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.