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Finding the Third Proportional to 63,882 and 99,193

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Solution

The third proportional to 63,882 and 99,193 is: 154,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,882 : 99,193 = 99,193 : x
  2. Step 2: Convert to fraction form
    63,882/99,193 = 99,193/x
  3. Step 3: Cross multiply
    63,882x = 99,193 × 99,193
  4. Step 4: Simplify right side
    63,882x = 9,839,251,249
  5. Step 5: Solve for x
    x = 9,839,251,249/63,882
  6. Step 6: Final answer
    x = 154,022.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.