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Finding the Third Proportional to 50,794 and 109,556

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Solution

The third proportional to 50,794 and 109,556 is: 236,297.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,794 : 109,556 = 109,556 : x
  2. Step 2: Convert to fraction form
    50,794/109,556 = 109,556/x
  3. Step 3: Cross multiply
    50,794x = 109,556 × 109,556
  4. Step 4: Simplify right side
    50,794x = 12,002,517,136
  5. Step 5: Solve for x
    x = 12,002,517,136/50,794
  6. Step 6: Final answer
    x = 236,297.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.