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Finding the Third Proportional to 65,682 and 96,193

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Solution

The third proportional to 65,682 and 96,193 is: 140,877.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,682 : 96,193 = 96,193 : x
  2. Step 2: Convert to fraction form
    65,682/96,193 = 96,193/x
  3. Step 3: Cross multiply
    65,682x = 96,193 × 96,193
  4. Step 4: Simplify right side
    65,682x = 9,253,093,249
  5. Step 5: Solve for x
    x = 9,253,093,249/65,682
  6. Step 6: Final answer
    x = 140,877.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.