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Finding the Third Proportional to 45,736 and 92,744

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Solution

The third proportional to 45,736 and 92,744 is: 188,067.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,736 : 92,744 = 92,744 : x
  2. Step 2: Convert to fraction form
    45,736/92,744 = 92,744/x
  3. Step 3: Cross multiply
    45,736x = 92,744 × 92,744
  4. Step 4: Simplify right side
    45,736x = 8,601,449,536
  5. Step 5: Solve for x
    x = 8,601,449,536/45,736
  6. Step 6: Final answer
    x = 188,067.38

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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.