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Finding the Third Proportional to 84,060 and 180,876

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Solution

The third proportional to 84,060 and 180,876 is: 389,199.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,060 : 180,876 = 180,876 : x
  2. Step 2: Convert to fraction form
    84,060/180,876 = 180,876/x
  3. Step 3: Cross multiply
    84,060x = 180,876 × 180,876
  4. Step 4: Simplify right side
    84,060x = 32,716,127,376
  5. Step 5: Solve for x
    x = 32,716,127,376/84,060
  6. Step 6: Final answer
    x = 389,199.71

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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.