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Finding the Third Proportional to 101,741 and 206,251

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Solution

The third proportional to 101,741 and 206,251 is: 418,115.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,741 : 206,251 = 206,251 : x
  2. Step 2: Convert to fraction form
    101,741/206,251 = 206,251/x
  3. Step 3: Cross multiply
    101,741x = 206,251 × 206,251
  4. Step 4: Simplify right side
    101,741x = 42,539,475,001
  5. Step 5: Solve for x
    x = 42,539,475,001/101,741
  6. Step 6: Final answer
    x = 418,115.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.