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Finding the Third Proportional to 96,198 and 131,049

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Solution

The third proportional to 96,198 and 131,049 is: 178,525.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,198 : 131,049 = 131,049 : x
  2. Step 2: Convert to fraction form
    96,198/131,049 = 131,049/x
  3. Step 3: Cross multiply
    96,198x = 131,049 × 131,049
  4. Step 4: Simplify right side
    96,198x = 17,173,840,401
  5. Step 5: Solve for x
    x = 17,173,840,401/96,198
  6. Step 6: Final answer
    x = 178,525.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.