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Finding the Third Proportional to 92,969 and 191,439

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Solution

The third proportional to 92,969 and 191,439 is: 394,205.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,969 : 191,439 = 191,439 : x
  2. Step 2: Convert to fraction form
    92,969/191,439 = 191,439/x
  3. Step 3: Cross multiply
    92,969x = 191,439 × 191,439
  4. Step 4: Simplify right side
    92,969x = 36,648,890,721
  5. Step 5: Solve for x
    x = 36,648,890,721/92,969
  6. Step 6: Final answer
    x = 394,205.50

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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.