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Finding the Third Proportional to 49,093 and 75,067

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Solution

The third proportional to 49,093 and 75,067 is: 114,783.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,093 : 75,067 = 75,067 : x
  2. Step 2: Convert to fraction form
    49,093/75,067 = 75,067/x
  3. Step 3: Cross multiply
    49,093x = 75,067 × 75,067
  4. Step 4: Simplify right side
    49,093x = 5,635,054,489
  5. Step 5: Solve for x
    x = 5,635,054,489/49,093
  6. Step 6: Final answer
    x = 114,783.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.