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Finding the Third Proportional to 49,498 and 80,847

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Solution

The third proportional to 49,498 and 80,847 is: 132,050.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,498 : 80,847 = 80,847 : x
  2. Step 2: Convert to fraction form
    49,498/80,847 = 80,847/x
  3. Step 3: Cross multiply
    49,498x = 80,847 × 80,847
  4. Step 4: Simplify right side
    49,498x = 6,536,237,409
  5. Step 5: Solve for x
    x = 6,536,237,409/49,498
  6. Step 6: Final answer
    x = 132,050.54

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.