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Finding the Third Proportional to 49,967 and 107,041

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Solution

The third proportional to 49,967 and 107,041 is: 229,306.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,967 : 107,041 = 107,041 : x
  2. Step 2: Convert to fraction form
    49,967/107,041 = 107,041/x
  3. Step 3: Cross multiply
    49,967x = 107,041 × 107,041
  4. Step 4: Simplify right side
    49,967x = 11,457,775,681
  5. Step 5: Solve for x
    x = 11,457,775,681/49,967
  6. Step 6: Final answer
    x = 229,306.86

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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.