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Finding the Third Proportional to 50,169 and 109,667

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Solution

The third proportional to 50,169 and 109,667 is: 239,726.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,169 : 109,667 = 109,667 : x
  2. Step 2: Convert to fraction form
    50,169/109,667 = 109,667/x
  3. Step 3: Cross multiply
    50,169x = 109,667 × 109,667
  4. Step 4: Simplify right side
    50,169x = 12,026,850,889
  5. Step 5: Solve for x
    x = 12,026,850,889/50,169
  6. Step 6: Final answer
    x = 239,726.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.