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Finding the Third Proportional to 50,296 and 110,554

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Solution

The third proportional to 50,296 and 110,554 is: 243,005.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,296 : 110,554 = 110,554 : x
  2. Step 2: Convert to fraction form
    50,296/110,554 = 110,554/x
  3. Step 3: Cross multiply
    50,296x = 110,554 × 110,554
  4. Step 4: Simplify right side
    50,296x = 12,222,186,916
  5. Step 5: Solve for x
    x = 12,222,186,916/50,296
  6. Step 6: Final answer
    x = 243,005.15

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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.