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Finding the Third Proportional to 49,286 and 75,150

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Solution

The third proportional to 49,286 and 75,150 is: 114,586.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,286 : 75,150 = 75,150 : x
  2. Step 2: Convert to fraction form
    49,286/75,150 = 75,150/x
  3. Step 3: Cross multiply
    49,286x = 75,150 × 75,150
  4. Step 4: Simplify right side
    49,286x = 5,647,522,500
  5. Step 5: Solve for x
    x = 5,647,522,500/49,286
  6. Step 6: Final answer
    x = 114,586.75

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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.