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Finding the Third Proportional to 55,744.50 and 122,067

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Solution

The third proportional to 55,744.50 and 122,067 is: 267,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,744.50 : 122,067 = 122,067 : x
  2. Step 2: Convert to fraction form
    55,744.50/122,067 = 122,067/x
  3. Step 3: Cross multiply
    55,744.50x = 122,067 × 122,067
  4. Step 4: Simplify right side
    55,744.50x = 14,900,352,489
  5. Step 5: Solve for x
    x = 14,900,352,489/55,744.50
  6. Step 6: Final answer
    x = 267,297.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.