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Finding the Third Proportional to 49,947.38 and 106,251.38

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Solution

The third proportional to 49,947.38 and 106,251.38 is: 226,024.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,947.38 : 106,251.38 = 106,251.38 : x
  2. Step 2: Convert to fraction form
    49,947.38/106,251.38 = 106,251.38/x
  3. Step 3: Cross multiply
    49,947.38x = 106,251.38 × 106,251.38
  4. Step 4: Simplify right side
    49,947.38x = 11,289,354,689.39
  5. Step 5: Solve for x
    x = 11,289,354,689.39/49,947.38
  6. Step 6: Final answer
    x = 226,024.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.