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Finding the Third Proportional to 50,733 and 110,223

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Solution

The third proportional to 50,733 and 110,223 is: 239,471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,733 : 110,223 = 110,223 : x
  2. Step 2: Convert to fraction form
    50,733/110,223 = 110,223/x
  3. Step 3: Cross multiply
    50,733x = 110,223 × 110,223
  4. Step 4: Simplify right side
    50,733x = 12,149,109,729
  5. Step 5: Solve for x
    x = 12,149,109,729/50,733
  6. Step 6: Final answer
    x = 239,471.54

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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.