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Finding the Third Proportional to 49,801 and 104,219

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Solution

The third proportional to 49,801 and 104,219 is: 218,100.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,801 : 104,219 = 104,219 : x
  2. Step 2: Convert to fraction form
    49,801/104,219 = 104,219/x
  3. Step 3: Cross multiply
    49,801x = 104,219 × 104,219
  4. Step 4: Simplify right side
    49,801x = 10,861,599,961
  5. Step 5: Solve for x
    x = 10,861,599,961/49,801
  6. Step 6: Final answer
    x = 218,100.04

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.