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Finding the Third Proportional to 50,652 and 117,266

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Solution

The third proportional to 50,652 and 117,266 is: 271,486.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,652 : 117,266 = 117,266 : x
  2. Step 2: Convert to fraction form
    50,652/117,266 = 117,266/x
  3. Step 3: Cross multiply
    50,652x = 117,266 × 117,266
  4. Step 4: Simplify right side
    50,652x = 13,751,314,756
  5. Step 5: Solve for x
    x = 13,751,314,756/50,652
  6. Step 6: Final answer
    x = 271,486.12

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.