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Finding the Third Proportional to 68,827 and 104,193

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Solution

The third proportional to 68,827 and 104,193 is: 157,731.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,827 : 104,193 = 104,193 : x
  2. Step 2: Convert to fraction form
    68,827/104,193 = 104,193/x
  3. Step 3: Cross multiply
    68,827x = 104,193 × 104,193
  4. Step 4: Simplify right side
    68,827x = 10,856,181,249
  5. Step 5: Solve for x
    x = 10,856,181,249/68,827
  6. Step 6: Final answer
    x = 157,731.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.