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Finding the Third Proportional to 44,093 and 104,067

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Solution

The third proportional to 44,093 and 104,067 is: 245,615.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,093 : 104,067 = 104,067 : x
  2. Step 2: Convert to fraction form
    44,093/104,067 = 104,067/x
  3. Step 3: Cross multiply
    44,093x = 104,067 × 104,067
  4. Step 4: Simplify right side
    44,093x = 10,829,940,489
  5. Step 5: Solve for x
    x = 10,829,940,489/44,093
  6. Step 6: Final answer
    x = 245,615.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.