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Finding the Third Proportional to 75,439 and 81,811

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Solution

The third proportional to 75,439 and 81,811 is: 88,721.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,439 : 81,811 = 81,811 : x
  2. Step 2: Convert to fraction form
    75,439/81,811 = 81,811/x
  3. Step 3: Cross multiply
    75,439x = 81,811 × 81,811
  4. Step 4: Simplify right side
    75,439x = 6,693,039,721
  5. Step 5: Solve for x
    x = 6,693,039,721/75,439
  6. Step 6: Final answer
    x = 88,721.21

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.