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Finding the Third Proportional to 50,917 and 109,670

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Solution

The third proportional to 50,917 and 109,670 is: 236,217.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,917 : 109,670 = 109,670 : x
  2. Step 2: Convert to fraction form
    50,917/109,670 = 109,670/x
  3. Step 3: Cross multiply
    50,917x = 109,670 × 109,670
  4. Step 4: Simplify right side
    50,917x = 12,027,508,900
  5. Step 5: Solve for x
    x = 12,027,508,900/50,917
  6. Step 6: Final answer
    x = 236,217.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.