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Finding the Third Proportional to 43,739 and 69,631

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Solution

The third proportional to 43,739 and 69,631 is: 110,850.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,739 : 69,631 = 69,631 : x
  2. Step 2: Convert to fraction form
    43,739/69,631 = 69,631/x
  3. Step 3: Cross multiply
    43,739x = 69,631 × 69,631
  4. Step 4: Simplify right side
    43,739x = 4,848,476,161
  5. Step 5: Solve for x
    x = 4,848,476,161/43,739
  6. Step 6: Final answer
    x = 110,850.18

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.