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Finding the Third Proportional to 43,612 and 69,170

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Solution

The third proportional to 43,612 and 69,170 is: 109,705.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,612 : 69,170 = 69,170 : x
  2. Step 2: Convert to fraction form
    43,612/69,170 = 69,170/x
  3. Step 3: Cross multiply
    43,612x = 69,170 × 69,170
  4. Step 4: Simplify right side
    43,612x = 4,784,488,900
  5. Step 5: Solve for x
    x = 4,784,488,900/43,612
  6. Step 6: Final answer
    x = 109,705.79

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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.