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Finding the Third Proportional to 101,686 and 154,601

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Solution

The third proportional to 101,686 and 154,601 is: 235,051.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,686 : 154,601 = 154,601 : x
  2. Step 2: Convert to fraction form
    101,686/154,601 = 154,601/x
  3. Step 3: Cross multiply
    101,686x = 154,601 × 154,601
  4. Step 4: Simplify right side
    101,686x = 23,901,469,201
  5. Step 5: Solve for x
    x = 23,901,469,201/101,686
  6. Step 6: Final answer
    x = 235,051.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.