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Finding the Third Proportional to 92,268 and 195,876

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Solution

The third proportional to 92,268 and 195,876 is: 415,825.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,268 : 195,876 = 195,876 : x
  2. Step 2: Convert to fraction form
    92,268/195,876 = 195,876/x
  3. Step 3: Cross multiply
    92,268x = 195,876 × 195,876
  4. Step 4: Simplify right side
    92,268x = 38,367,407,376
  5. Step 5: Solve for x
    x = 38,367,407,376/92,268
  6. Step 6: Final answer
    x = 415,825.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.