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Finding the Third Proportional to 50,398 and 110,372

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Solution

The third proportional to 50,398 and 110,372 is: 241,715.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,398 : 110,372 = 110,372 : x
  2. Step 2: Convert to fraction form
    50,398/110,372 = 110,372/x
  3. Step 3: Cross multiply
    50,398x = 110,372 × 110,372
  4. Step 4: Simplify right side
    50,398x = 12,181,978,384
  5. Step 5: Solve for x
    x = 12,181,978,384/50,398
  6. Step 6: Final answer
    x = 241,715.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.