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Finding the Third Proportional to 41,382.56 and 92,133.56

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Solution

The third proportional to 41,382.56 and 92,133.56 is: 205,124.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,382.56 : 92,133.56 = 92,133.56 : x
  2. Step 2: Convert to fraction form
    41,382.56/92,133.56 = 92,133.56/x
  3. Step 3: Cross multiply
    41,382.56x = 92,133.56 × 92,133.56
  4. Step 4: Simplify right side
    41,382.56x = 8,488,593,338.94
  5. Step 5: Solve for x
    x = 8,488,593,338.94/41,382.56
  6. Step 6: Final answer
    x = 205,124.88

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.