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Finding the Third Proportional to 47,734 and 100,266

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Solution

The third proportional to 47,734 and 100,266 is: 210,610.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,734 : 100,266 = 100,266 : x
  2. Step 2: Convert to fraction form
    47,734/100,266 = 100,266/x
  3. Step 3: Cross multiply
    47,734x = 100,266 × 100,266
  4. Step 4: Simplify right side
    47,734x = 10,053,270,756
  5. Step 5: Solve for x
    x = 10,053,270,756/47,734
  6. Step 6: Final answer
    x = 210,610.27

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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.