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Finding the Third Proportional to 49,322.25 and 108,027

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Solution

The third proportional to 49,322.25 and 108,027 is: 236,603.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,322.25 : 108,027 = 108,027 : x
  2. Step 2: Convert to fraction form
    49,322.25/108,027 = 108,027/x
  3. Step 3: Cross multiply
    49,322.25x = 108,027 × 108,027
  4. Step 4: Simplify right side
    49,322.25x = 11,669,832,729
  5. Step 5: Solve for x
    x = 11,669,832,729/49,322.25
  6. Step 6: Final answer
    x = 236,603.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.