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Finding the Third Proportional to 92,961 and 191,425

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Solution

The third proportional to 92,961 and 191,425 is: 394,181.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,961 : 191,425 = 191,425 : x
  2. Step 2: Convert to fraction form
    92,961/191,425 = 191,425/x
  3. Step 3: Cross multiply
    92,961x = 191,425 × 191,425
  4. Step 4: Simplify right side
    92,961x = 36,643,530,625
  5. Step 5: Solve for x
    x = 36,643,530,625/92,961
  6. Step 6: Final answer
    x = 394,181.76

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.