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Finding the Third Proportional to 49,868 and 107,663

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Solution

The third proportional to 49,868 and 107,663 is: 232,440.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,868 : 107,663 = 107,663 : x
  2. Step 2: Convert to fraction form
    49,868/107,663 = 107,663/x
  3. Step 3: Cross multiply
    49,868x = 107,663 × 107,663
  4. Step 4: Simplify right side
    49,868x = 11,591,321,569
  5. Step 5: Solve for x
    x = 11,591,321,569/49,868
  6. Step 6: Final answer
    x = 232,440.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.