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Finding the Third Proportional to 50,741 and 110,229

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Solution

The third proportional to 50,741 and 110,229 is: 239,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,741 : 110,229 = 110,229 : x
  2. Step 2: Convert to fraction form
    50,741/110,229 = 110,229/x
  3. Step 3: Cross multiply
    50,741x = 110,229 × 110,229
  4. Step 4: Simplify right side
    50,741x = 12,150,432,441
  5. Step 5: Solve for x
    x = 12,150,432,441/50,741
  6. Step 6: Final answer
    x = 239,459.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.