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Finding the Third Proportional to 41,226.75 and 89,835.75

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Solution

The third proportional to 41,226.75 and 89,835.75 is: 195,757.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,226.75 : 89,835.75 = 89,835.75 : x
  2. Step 2: Convert to fraction form
    41,226.75/89,835.75 = 89,835.75/x
  3. Step 3: Cross multiply
    41,226.75x = 89,835.75 × 89,835.75
  4. Step 4: Simplify right side
    41,226.75x = 8,070,461,978.06
  5. Step 5: Solve for x
    x = 8,070,461,978.06/41,226.75
  6. Step 6: Final answer
    x = 195,757.90

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.