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Finding the Third Proportional to 51,198 and 76,400

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Solution

The third proportional to 51,198 and 76,400 is: 114,007.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,198 : 76,400 = 76,400 : x
  2. Step 2: Convert to fraction form
    51,198/76,400 = 76,400/x
  3. Step 3: Cross multiply
    51,198x = 76,400 × 76,400
  4. Step 4: Simplify right side
    51,198x = 5,836,960,000
  5. Step 5: Solve for x
    x = 5,836,960,000/51,198
  6. Step 6: Final answer
    x = 114,007.58

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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.