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Finding the Third Proportional to 101,991 and 143,372

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Solution

The third proportional to 101,991 and 143,372 is: 201,542.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,991 : 143,372 = 143,372 : x
  2. Step 2: Convert to fraction form
    101,991/143,372 = 143,372/x
  3. Step 3: Cross multiply
    101,991x = 143,372 × 143,372
  4. Step 4: Simplify right side
    101,991x = 20,555,530,384
  5. Step 5: Solve for x
    x = 20,555,530,384/101,991
  6. Step 6: Final answer
    x = 201,542.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.