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Finding the Third Proportional to 49,274 and 104,452

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Solution

The third proportional to 49,274 and 104,452 is: 221,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,274 : 104,452 = 104,452 : x
  2. Step 2: Convert to fraction form
    49,274/104,452 = 104,452/x
  3. Step 3: Cross multiply
    49,274x = 104,452 × 104,452
  4. Step 4: Simplify right side
    49,274x = 10,910,220,304
  5. Step 5: Solve for x
    x = 10,910,220,304/49,274
  6. Step 6: Final answer
    x = 221,419.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.