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Finding the Third Proportional to 48,274 and 100,958

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Solution

The third proportional to 48,274 and 100,958 is: 211,138.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,274 : 100,958 = 100,958 : x
  2. Step 2: Convert to fraction form
    48,274/100,958 = 100,958/x
  3. Step 3: Cross multiply
    48,274x = 100,958 × 100,958
  4. Step 4: Simplify right side
    48,274x = 10,192,517,764
  5. Step 5: Solve for x
    x = 10,192,517,764/48,274
  6. Step 6: Final answer
    x = 211,138.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.