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Finding the Third Proportional to 49,382 and 104,920

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Solution

The third proportional to 49,382 and 104,920 is: 222,919.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,382 : 104,920 = 104,920 : x
  2. Step 2: Convert to fraction form
    49,382/104,920 = 104,920/x
  3. Step 3: Cross multiply
    49,382x = 104,920 × 104,920
  4. Step 4: Simplify right side
    49,382x = 11,008,206,400
  5. Step 5: Solve for x
    x = 11,008,206,400/49,382
  6. Step 6: Final answer
    x = 222,919.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.