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Finding the Third Proportional to 73,002 and 80,682

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Solution

The third proportional to 73,002 and 80,682 is: 89,169.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,002 : 80,682 = 80,682 : x
  2. Step 2: Convert to fraction form
    73,002/80,682 = 80,682/x
  3. Step 3: Cross multiply
    73,002x = 80,682 × 80,682
  4. Step 4: Simplify right side
    73,002x = 6,509,585,124
  5. Step 5: Solve for x
    x = 6,509,585,124/73,002
  6. Step 6: Final answer
    x = 89,169.96

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.