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Finding the Third Proportional to 48,812 and 98,982

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Solution

The third proportional to 48,812 and 98,982 is: 200,717.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,812 : 98,982 = 98,982 : x
  2. Step 2: Convert to fraction form
    48,812/98,982 = 98,982/x
  3. Step 3: Cross multiply
    48,812x = 98,982 × 98,982
  4. Step 4: Simplify right side
    48,812x = 9,797,436,324
  5. Step 5: Solve for x
    x = 9,797,436,324/48,812
  6. Step 6: Final answer
    x = 200,717.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.