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Finding the Third Proportional to 92,966 and 190,876

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Solution

The third proportional to 92,966 and 190,876 is: 391,902.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,966 : 190,876 = 190,876 : x
  2. Step 2: Convert to fraction form
    92,966/190,876 = 190,876/x
  3. Step 3: Cross multiply
    92,966x = 190,876 × 190,876
  4. Step 4: Simplify right side
    92,966x = 36,433,647,376
  5. Step 5: Solve for x
    x = 36,433,647,376/92,966
  6. Step 6: Final answer
    x = 391,902.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.