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Finding the Third Proportional to 50,393 and 110,799

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Solution

The third proportional to 50,393 and 110,799 is: 243,613.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,393 : 110,799 = 110,799 : x
  2. Step 2: Convert to fraction form
    50,393/110,799 = 110,799/x
  3. Step 3: Cross multiply
    50,393x = 110,799 × 110,799
  4. Step 4: Simplify right side
    50,393x = 12,276,418,401
  5. Step 5: Solve for x
    x = 12,276,418,401/50,393
  6. Step 6: Final answer
    x = 243,613.57

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.