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Finding the Third Proportional to 49,269 and 111,690.75

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Solution

The third proportional to 49,269 and 111,690.75 is: 253,198.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,269 : 111,690.75 = 111,690.75 : x
  2. Step 2: Convert to fraction form
    49,269/111,690.75 = 111,690.75/x
  3. Step 3: Cross multiply
    49,269x = 111,690.75 × 111,690.75
  4. Step 4: Simplify right side
    49,269x = 12,474,823,635.56
  5. Step 5: Solve for x
    x = 12,474,823,635.56/49,269
  6. Step 6: Final answer
    x = 253,198.23

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.