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Finding the Third Proportional to 131,355 and 192,375

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Solution

The third proportional to 131,355 and 192,375 is: 281,741.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,355 : 192,375 = 192,375 : x
  2. Step 2: Convert to fraction form
    131,355/192,375 = 192,375/x
  3. Step 3: Cross multiply
    131,355x = 192,375 × 192,375
  4. Step 4: Simplify right side
    131,355x = 37,008,140,625
  5. Step 5: Solve for x
    x = 37,008,140,625/131,355
  6. Step 6: Final answer
    x = 281,741.39

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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.