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Finding the Third Proportional to 100,274 and 133,662

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Solution

The third proportional to 100,274 and 133,662 is: 178,167.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,274 : 133,662 = 133,662 : x
  2. Step 2: Convert to fraction form
    100,274/133,662 = 133,662/x
  3. Step 3: Cross multiply
    100,274x = 133,662 × 133,662
  4. Step 4: Simplify right side
    100,274x = 17,865,530,244
  5. Step 5: Solve for x
    x = 17,865,530,244/100,274
  6. Step 6: Final answer
    x = 178,167.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.