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Finding the Third Proportional to 50,964 and 104,193

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Solution

The third proportional to 50,964 and 104,193 is: 213,016.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,964 : 104,193 = 104,193 : x
  2. Step 2: Convert to fraction form
    50,964/104,193 = 104,193/x
  3. Step 3: Cross multiply
    50,964x = 104,193 × 104,193
  4. Step 4: Simplify right side
    50,964x = 10,856,181,249
  5. Step 5: Solve for x
    x = 10,856,181,249/50,964
  6. Step 6: Final answer
    x = 213,016.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.