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Finding the Third Proportional to 50,331 and 107,034

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Solution

The third proportional to 50,331 and 107,034 is: 227,618.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,331 : 107,034 = 107,034 : x
  2. Step 2: Convert to fraction form
    50,331/107,034 = 107,034/x
  3. Step 3: Cross multiply
    50,331x = 107,034 × 107,034
  4. Step 4: Simplify right side
    50,331x = 11,456,277,156
  5. Step 5: Solve for x
    x = 11,456,277,156/50,331
  6. Step 6: Final answer
    x = 227,618.71

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Why These Related Problems?

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