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Finding the Third Proportional to 131,479 and 195,193

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Solution

The third proportional to 131,479 and 195,193 is: 289,782.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,479 : 195,193 = 195,193 : x
  2. Step 2: Convert to fraction form
    131,479/195,193 = 195,193/x
  3. Step 3: Cross multiply
    131,479x = 195,193 × 195,193
  4. Step 4: Simplify right side
    131,479x = 38,100,307,249
  5. Step 5: Solve for x
    x = 38,100,307,249/131,479
  6. Step 6: Final answer
    x = 289,782.45

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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.