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Finding the Third Proportional to 131,519 and 195,249

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Solution

The third proportional to 131,519 and 195,249 is: 289,860.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,519 : 195,249 = 195,249 : x
  2. Step 2: Convert to fraction form
    131,519/195,249 = 195,249/x
  3. Step 3: Cross multiply
    131,519x = 195,249 × 195,249
  4. Step 4: Simplify right side
    131,519x = 38,122,172,001
  5. Step 5: Solve for x
    x = 38,122,172,001/131,519
  6. Step 6: Final answer
    x = 289,860.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.