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Finding the Third Proportional to 135,311 and 192,325

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Solution

The third proportional to 135,311 and 192,325 is: 273,362.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,311 : 192,325 = 192,325 : x
  2. Step 2: Convert to fraction form
    135,311/192,325 = 192,325/x
  3. Step 3: Cross multiply
    135,311x = 192,325 × 192,325
  4. Step 4: Simplify right side
    135,311x = 36,988,905,625
  5. Step 5: Solve for x
    x = 36,988,905,625/135,311
  6. Step 6: Final answer
    x = 273,362.15

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.