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Finding the Third Proportional to 49,922 and 109,885

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Solution

The third proportional to 49,922 and 109,885 is: 241,871.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,922 : 109,885 = 109,885 : x
  2. Step 2: Convert to fraction form
    49,922/109,885 = 109,885/x
  3. Step 3: Cross multiply
    49,922x = 109,885 × 109,885
  4. Step 4: Simplify right side
    49,922x = 12,074,713,225
  5. Step 5: Solve for x
    x = 12,074,713,225/49,922
  6. Step 6: Final answer
    x = 241,871.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.