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Finding the Third Proportional to 43,994 and 103,744

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Solution

The third proportional to 43,994 and 103,744 is: 244,642.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,994 : 103,744 = 103,744 : x
  2. Step 2: Convert to fraction form
    43,994/103,744 = 103,744/x
  3. Step 3: Cross multiply
    43,994x = 103,744 × 103,744
  4. Step 4: Simplify right side
    43,994x = 10,762,817,536
  5. Step 5: Solve for x
    x = 10,762,817,536/43,994
  6. Step 6: Final answer
    x = 244,642.85

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.