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Finding the Third Proportional to 39,885 and 83,901

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Solution

The third proportional to 39,885 and 83,901 is: 176,491.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,885 : 83,901 = 83,901 : x
  2. Step 2: Convert to fraction form
    39,885/83,901 = 83,901/x
  3. Step 3: Cross multiply
    39,885x = 83,901 × 83,901
  4. Step 4: Simplify right side
    39,885x = 7,039,377,801
  5. Step 5: Solve for x
    x = 7,039,377,801/39,885
  6. Step 6: Final answer
    x = 176,491.86

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.