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Finding the Third Proportional to 48,999 and 103,885

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Solution

The third proportional to 48,999 and 103,885 is: 220,251.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,999 : 103,885 = 103,885 : x
  2. Step 2: Convert to fraction form
    48,999/103,885 = 103,885/x
  3. Step 3: Cross multiply
    48,999x = 103,885 × 103,885
  4. Step 4: Simplify right side
    48,999x = 10,792,093,225
  5. Step 5: Solve for x
    x = 10,792,093,225/48,999
  6. Step 6: Final answer
    x = 220,251.30

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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.