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Finding the Third Proportional to 49,743 and 104,292

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Solution

The third proportional to 49,743 and 104,292 is: 218,660.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,743 : 104,292 = 104,292 : x
  2. Step 2: Convert to fraction form
    49,743/104,292 = 104,292/x
  3. Step 3: Cross multiply
    49,743x = 104,292 × 104,292
  4. Step 4: Simplify right side
    49,743x = 10,876,821,264
  5. Step 5: Solve for x
    x = 10,876,821,264/49,743
  6. Step 6: Final answer
    x = 218,660.34

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Why These Related Problems?

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