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Finding the Third Proportional to 101,900 and 135,903

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Solution

The third proportional to 101,900 and 135,903 is: 181,252.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,900 : 135,903 = 135,903 : x
  2. Step 2: Convert to fraction form
    101,900/135,903 = 135,903/x
  3. Step 3: Cross multiply
    101,900x = 135,903 × 135,903
  4. Step 4: Simplify right side
    101,900x = 18,469,625,409
  5. Step 5: Solve for x
    x = 18,469,625,409/101,900
  6. Step 6: Final answer
    x = 181,252.46

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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.