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Finding the Third Proportional to 50,224 and 108,226

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Solution

The third proportional to 50,224 and 108,226 is: 233,212.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,224 : 108,226 = 108,226 : x
  2. Step 2: Convert to fraction form
    50,224/108,226 = 108,226/x
  3. Step 3: Cross multiply
    50,224x = 108,226 × 108,226
  4. Step 4: Simplify right side
    50,224x = 11,712,867,076
  5. Step 5: Solve for x
    x = 11,712,867,076/50,224
  6. Step 6: Final answer
    x = 233,212.55

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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.