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Finding the Third Proportional to 63,885 and 84,811

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Solution

The third proportional to 63,885 and 84,811 is: 112,591.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,885 : 84,811 = 84,811 : x
  2. Step 2: Convert to fraction form
    63,885/84,811 = 84,811/x
  3. Step 3: Cross multiply
    63,885x = 84,811 × 84,811
  4. Step 4: Simplify right side
    63,885x = 7,192,905,721
  5. Step 5: Solve for x
    x = 7,192,905,721/63,885
  6. Step 6: Final answer
    x = 112,591.46

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.