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Finding the Third Proportional to 48,858 and 107,067

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Solution

The third proportional to 48,858 and 107,067 is: 234,625.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,858 : 107,067 = 107,067 : x
  2. Step 2: Convert to fraction form
    48,858/107,067 = 107,067/x
  3. Step 3: Cross multiply
    48,858x = 107,067 × 107,067
  4. Step 4: Simplify right side
    48,858x = 11,463,342,489
  5. Step 5: Solve for x
    x = 11,463,342,489/48,858
  6. Step 6: Final answer
    x = 234,625.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.