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Finding the Third Proportional to 45,550 and 100,067

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Solution

The third proportional to 45,550 and 100,067 is: 219,833.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,550 : 100,067 = 100,067 : x
  2. Step 2: Convert to fraction form
    45,550/100,067 = 100,067/x
  3. Step 3: Cross multiply
    45,550x = 100,067 × 100,067
  4. Step 4: Simplify right side
    45,550x = 10,013,404,489
  5. Step 5: Solve for x
    x = 10,013,404,489/45,550
  6. Step 6: Final answer
    x = 219,833.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.