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Finding the Third Proportional to 109,756 and 235,876

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Solution

The third proportional to 109,756 and 235,876 is: 506,919.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,756 : 235,876 = 235,876 : x
  2. Step 2: Convert to fraction form
    109,756/235,876 = 235,876/x
  3. Step 3: Cross multiply
    109,756x = 235,876 × 235,876
  4. Step 4: Simplify right side
    109,756x = 55,637,487,376
  5. Step 5: Solve for x
    x = 55,637,487,376/109,756
  6. Step 6: Final answer
    x = 506,919.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.