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Finding the Third Proportional to 100,265 and 133,801

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Solution

The third proportional to 100,265 and 133,801 is: 178,553.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,265 : 133,801 = 133,801 : x
  2. Step 2: Convert to fraction form
    100,265/133,801 = 133,801/x
  3. Step 3: Cross multiply
    100,265x = 133,801 × 133,801
  4. Step 4: Simplify right side
    100,265x = 17,902,707,601
  5. Step 5: Solve for x
    x = 17,902,707,601/100,265
  6. Step 6: Final answer
    x = 178,553.91

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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.