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Finding the Third Proportional to 96,195 and 131,044

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Solution

The third proportional to 96,195 and 131,044 is: 178,517.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,195 : 131,044 = 131,044 : x
  2. Step 2: Convert to fraction form
    96,195/131,044 = 131,044/x
  3. Step 3: Cross multiply
    96,195x = 131,044 × 131,044
  4. Step 4: Simplify right side
    96,195x = 17,172,529,936
  5. Step 5: Solve for x
    x = 17,172,529,936/96,195
  6. Step 6: Final answer
    x = 178,517.91

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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.