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Finding the Third Proportional to 48,782 and 99,868

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Solution

The third proportional to 48,782 and 99,868 is: 204,452.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,782 : 99,868 = 99,868 : x
  2. Step 2: Convert to fraction form
    48,782/99,868 = 99,868/x
  3. Step 3: Cross multiply
    48,782x = 99,868 × 99,868
  4. Step 4: Simplify right side
    48,782x = 9,973,617,424
  5. Step 5: Solve for x
    x = 9,973,617,424/48,782
  6. Step 6: Final answer
    x = 204,452.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.