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Finding the Third Proportional to 50,706 and 95,067

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Solution

The third proportional to 50,706 and 95,067 is: 178,237.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,706 : 95,067 = 95,067 : x
  2. Step 2: Convert to fraction form
    50,706/95,067 = 95,067/x
  3. Step 3: Cross multiply
    50,706x = 95,067 × 95,067
  4. Step 4: Simplify right side
    50,706x = 9,037,734,489
  5. Step 5: Solve for x
    x = 9,037,734,489/50,706
  6. Step 6: Final answer
    x = 178,237.97

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.