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Finding the Third Proportional to 49,963 and 107,012

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Solution

The third proportional to 49,963 and 107,012 is: 229,200.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,963 : 107,012 = 107,012 : x
  2. Step 2: Convert to fraction form
    49,963/107,012 = 107,012/x
  3. Step 3: Cross multiply
    49,963x = 107,012 × 107,012
  4. Step 4: Simplify right side
    49,963x = 11,451,568,144
  5. Step 5: Solve for x
    x = 11,451,568,144/49,963
  6. Step 6: Final answer
    x = 229,200.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.