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Finding the Third Proportional to 80,296 and 119,284

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Solution

The third proportional to 80,296 and 119,284 is: 177,202.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,296 : 119,284 = 119,284 : x
  2. Step 2: Convert to fraction form
    80,296/119,284 = 119,284/x
  3. Step 3: Cross multiply
    80,296x = 119,284 × 119,284
  4. Step 4: Simplify right side
    80,296x = 14,228,672,656
  5. Step 5: Solve for x
    x = 14,228,672,656/80,296
  6. Step 6: Final answer
    x = 177,202.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.