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Finding the Third Proportional to 68,235.50 and 148,067

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Solution

The third proportional to 68,235.50 and 148,067 is: 321,296.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,235.50 : 148,067 = 148,067 : x
  2. Step 2: Convert to fraction form
    68,235.50/148,067 = 148,067/x
  3. Step 3: Cross multiply
    68,235.50x = 148,067 × 148,067
  4. Step 4: Simplify right side
    68,235.50x = 21,923,836,489
  5. Step 5: Solve for x
    x = 21,923,836,489/68,235.50
  6. Step 6: Final answer
    x = 321,296.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.