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Finding the Third Proportional to 41,334 and 89,670

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Solution

The third proportional to 41,334 and 89,670 is: 194,530.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,334 : 89,670 = 89,670 : x
  2. Step 2: Convert to fraction form
    41,334/89,670 = 89,670/x
  3. Step 3: Cross multiply
    41,334x = 89,670 × 89,670
  4. Step 4: Simplify right side
    41,334x = 8,040,708,900
  5. Step 5: Solve for x
    x = 8,040,708,900/41,334
  6. Step 6: Final answer
    x = 194,530.14

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.