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Finding the Third Proportional to 79,876 and 188,252

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Solution

The third proportional to 79,876 and 188,252 is: 443,672.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,876 : 188,252 = 188,252 : x
  2. Step 2: Convert to fraction form
    79,876/188,252 = 188,252/x
  3. Step 3: Cross multiply
    79,876x = 188,252 × 188,252
  4. Step 4: Simplify right side
    79,876x = 35,438,815,504
  5. Step 5: Solve for x
    x = 35,438,815,504/79,876
  6. Step 6: Final answer
    x = 443,672.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.