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Finding the Third Proportional to 32,612 and 68,727

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Solution

The third proportional to 32,612 and 68,727 is: 144,836.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,612 : 68,727 = 68,727 : x
  2. Step 2: Convert to fraction form
    32,612/68,727 = 68,727/x
  3. Step 3: Cross multiply
    32,612x = 68,727 × 68,727
  4. Step 4: Simplify right side
    32,612x = 4,723,400,529
  5. Step 5: Solve for x
    x = 4,723,400,529/32,612
  6. Step 6: Final answer
    x = 144,836.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.