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Finding the Third Proportional to 51,849 and 105,885

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Solution

The third proportional to 51,849 and 105,885 is: 216,236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,849 : 105,885 = 105,885 : x
  2. Step 2: Convert to fraction form
    51,849/105,885 = 105,885/x
  3. Step 3: Cross multiply
    51,849x = 105,885 × 105,885
  4. Step 4: Simplify right side
    51,849x = 11,211,633,225
  5. Step 5: Solve for x
    x = 11,211,633,225/51,849
  6. Step 6: Final answer
    x = 216,236.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.