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Finding the Third Proportional to 49,508 and 104,200

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Solution

The third proportional to 49,508 and 104,200 is: 219,310.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,508 : 104,200 = 104,200 : x
  2. Step 2: Convert to fraction form
    49,508/104,200 = 104,200/x
  3. Step 3: Cross multiply
    49,508x = 104,200 × 104,200
  4. Step 4: Simplify right side
    49,508x = 10,857,640,000
  5. Step 5: Solve for x
    x = 10,857,640,000/49,508
  6. Step 6: Final answer
    x = 219,310.82

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.