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Finding the Third Proportional to 49,640 and 104,800

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Solution

The third proportional to 49,640 and 104,800 is: 221,253.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,640 : 104,800 = 104,800 : x
  2. Step 2: Convert to fraction form
    49,640/104,800 = 104,800/x
  3. Step 3: Cross multiply
    49,640x = 104,800 × 104,800
  4. Step 4: Simplify right side
    49,640x = 10,983,040,000
  5. Step 5: Solve for x
    x = 10,983,040,000/49,640
  6. Step 6: Final answer
    x = 221,253.83

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.