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Finding the Third Proportional to 23,214 and 50,122

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Solution

The third proportional to 23,214 and 50,122 is: 108,219.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,214 : 50,122 = 50,122 : x
  2. Step 2: Convert to fraction form
    23,214/50,122 = 50,122/x
  3. Step 3: Cross multiply
    23,214x = 50,122 × 50,122
  4. Step 4: Simplify right side
    23,214x = 2,512,214,884
  5. Step 5: Solve for x
    x = 2,512,214,884/23,214
  6. Step 6: Final answer
    x = 108,219.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.