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Finding the Third Proportional to 41,134.75 and 87,459.75

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Solution

The third proportional to 41,134.75 and 87,459.75 is: 185,954.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,134.75 : 87,459.75 = 87,459.75 : x
  2. Step 2: Convert to fraction form
    41,134.75/87,459.75 = 87,459.75/x
  3. Step 3: Cross multiply
    41,134.75x = 87,459.75 × 87,459.75
  4. Step 4: Simplify right side
    41,134.75x = 7,649,207,870.06
  5. Step 5: Solve for x
    x = 7,649,207,870.06/41,134.75
  6. Step 6: Final answer
    x = 185,954.89

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.