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Finding the Third Proportional to 49,674 and 107,814

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Solution

The third proportional to 49,674 and 107,814 is: 234,002.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,674 : 107,814 = 107,814 : x
  2. Step 2: Convert to fraction form
    49,674/107,814 = 107,814/x
  3. Step 3: Cross multiply
    49,674x = 107,814 × 107,814
  4. Step 4: Simplify right side
    49,674x = 11,623,858,596
  5. Step 5: Solve for x
    x = 11,623,858,596/49,674
  6. Step 6: Final answer
    x = 234,002.87

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Why These Related Problems?

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