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Finding the Third Proportional to 50,458.50 and 107,067

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Solution

The third proportional to 50,458.50 and 107,067 is: 227,183.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,458.50 : 107,067 = 107,067 : x
  2. Step 2: Convert to fraction form
    50,458.50/107,067 = 107,067/x
  3. Step 3: Cross multiply
    50,458.50x = 107,067 × 107,067
  4. Step 4: Simplify right side
    50,458.50x = 11,463,342,489
  5. Step 5: Solve for x
    x = 11,463,342,489/50,458.50
  6. Step 6: Final answer
    x = 227,183.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.