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Finding the Third Proportional to 49,993 and 108,004

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Solution

The third proportional to 49,993 and 108,004 is: 233,329.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,993 : 108,004 = 108,004 : x
  2. Step 2: Convert to fraction form
    49,993/108,004 = 108,004/x
  3. Step 3: Cross multiply
    49,993x = 108,004 × 108,004
  4. Step 4: Simplify right side
    49,993x = 11,664,864,016
  5. Step 5: Solve for x
    x = 11,664,864,016/49,993
  6. Step 6: Final answer
    x = 233,329.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.