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Finding the Third Proportional to 101,067 and 140,163.50

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Solution

The third proportional to 101,067 and 140,163.50 is: 194,383.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,067 : 140,163.50 = 140,163.50 : x
  2. Step 2: Convert to fraction form
    101,067/140,163.50 = 140,163.50/x
  3. Step 3: Cross multiply
    101,067x = 140,163.50 × 140,163.50
  4. Step 4: Simplify right side
    101,067x = 19,645,806,732.25
  5. Step 5: Solve for x
    x = 19,645,806,732.25/101,067
  6. Step 6: Final answer
    x = 194,383.99

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.