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Finding the Third Proportional to 50,214 and 108,201

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Solution

The third proportional to 50,214 and 108,201 is: 233,151.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,214 : 108,201 = 108,201 : x
  2. Step 2: Convert to fraction form
    50,214/108,201 = 108,201/x
  3. Step 3: Cross multiply
    50,214x = 108,201 × 108,201
  4. Step 4: Simplify right side
    50,214x = 11,707,456,401
  5. Step 5: Solve for x
    x = 11,707,456,401/50,214
  6. Step 6: Final answer
    x = 233,151.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.