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Finding the Third Proportional to 49,286 and 75,149

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Solution

The third proportional to 49,286 and 75,149 is: 114,583.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,286 : 75,149 = 75,149 : x
  2. Step 2: Convert to fraction form
    49,286/75,149 = 75,149/x
  3. Step 3: Cross multiply
    49,286x = 75,149 × 75,149
  4. Step 4: Simplify right side
    49,286x = 5,647,372,201
  5. Step 5: Solve for x
    x = 5,647,372,201/49,286
  6. Step 6: Final answer
    x = 114,583.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.