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Finding the Third Proportional to 67,621.50 and 149,067

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Solution

The third proportional to 67,621.50 and 149,067 is: 328,608.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,621.50 : 149,067 = 149,067 : x
  2. Step 2: Convert to fraction form
    67,621.50/149,067 = 149,067/x
  3. Step 3: Cross multiply
    67,621.50x = 149,067 × 149,067
  4. Step 4: Simplify right side
    67,621.50x = 22,220,970,489
  5. Step 5: Solve for x
    x = 22,220,970,489/67,621.50
  6. Step 6: Final answer
    x = 328,608.07

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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.