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Finding the Third Proportional to 50,676 and 117,302

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Solution

The third proportional to 50,676 and 117,302 is: 271,524.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,676 : 117,302 = 117,302 : x
  2. Step 2: Convert to fraction form
    50,676/117,302 = 117,302/x
  3. Step 3: Cross multiply
    50,676x = 117,302 × 117,302
  4. Step 4: Simplify right side
    50,676x = 13,759,759,204
  5. Step 5: Solve for x
    x = 13,759,759,204/50,676
  6. Step 6: Final answer
    x = 271,524.18

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.