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Finding the Third Proportional to 83,622 and 180,876

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Solution

The third proportional to 83,622 and 180,876 is: 391,238.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,622 : 180,876 = 180,876 : x
  2. Step 2: Convert to fraction form
    83,622/180,876 = 180,876/x
  3. Step 3: Cross multiply
    83,622x = 180,876 × 180,876
  4. Step 4: Simplify right side
    83,622x = 32,716,127,376
  5. Step 5: Solve for x
    x = 32,716,127,376/83,622
  6. Step 6: Final answer
    x = 391,238.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.