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Finding the Third Proportional to 95,069 and 206,692

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Solution

The third proportional to 95,069 and 206,692 is: 449,374.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,069 : 206,692 = 206,692 : x
  2. Step 2: Convert to fraction form
    95,069/206,692 = 206,692/x
  3. Step 3: Cross multiply
    95,069x = 206,692 × 206,692
  4. Step 4: Simplify right side
    95,069x = 42,721,582,864
  5. Step 5: Solve for x
    x = 42,721,582,864/95,069
  6. Step 6: Final answer
    x = 449,374.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.