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Finding the Third Proportional to 26,066 and 54,067

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Solution

The third proportional to 26,066 and 54,067 is: 112,147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,066 : 54,067 = 54,067 : x
  2. Step 2: Convert to fraction form
    26,066/54,067 = 54,067/x
  3. Step 3: Cross multiply
    26,066x = 54,067 × 54,067
  4. Step 4: Simplify right side
    26,066x = 2,923,240,489
  5. Step 5: Solve for x
    x = 2,923,240,489/26,066
  6. Step 6: Final answer
    x = 112,147.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.