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Finding the Third Proportional to 43,132 and 68,586

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Solution

The third proportional to 43,132 and 68,586 is: 109,061.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,132 : 68,586 = 68,586 : x
  2. Step 2: Convert to fraction form
    43,132/68,586 = 68,586/x
  3. Step 3: Cross multiply
    43,132x = 68,586 × 68,586
  4. Step 4: Simplify right side
    43,132x = 4,704,039,396
  5. Step 5: Solve for x
    x = 4,704,039,396/43,132
  6. Step 6: Final answer
    x = 109,061.47

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Why These Related Problems?

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