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Finding the Third Proportional to 57,067.03 and 123,941.39

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Solution

The third proportional to 57,067.03 and 123,941.39 is: 269,182.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,067.03 : 123,941.39 = 123,941.39 : x
  2. Step 2: Convert to fraction form
    57,067.03/123,941.39 = 123,941.39/x
  3. Step 3: Cross multiply
    57,067.03x = 123,941.39 × 123,941.39
  4. Step 4: Simplify right side
    57,067.03x = 15,361,468,310.06
  5. Step 5: Solve for x
    x = 15,361,468,310.06/57,067.03
  6. Step 6: Final answer
    x = 269,182.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.