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Finding the Third Proportional to 84,198.87 and 125,965.76

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Solution

The third proportional to 84,198.87 and 125,965.76 is: 188,451.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,198.87 : 125,965.76 = 125,965.76 : x
  2. Step 2: Convert to fraction form
    84,198.87/125,965.76 = 125,965.76/x
  3. Step 3: Cross multiply
    84,198.87x = 125,965.76 × 125,965.76
  4. Step 4: Simplify right side
    84,198.87x = 15,867,372,141.28
  5. Step 5: Solve for x
    x = 15,867,372,141.28/84,198.87
  6. Step 6: Final answer
    x = 188,451.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.