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Finding the Third Proportional to 101,624 and 135,762

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Solution

The third proportional to 101,624 and 135,762 is: 181,367.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,624 : 135,762 = 135,762 : x
  2. Step 2: Convert to fraction form
    101,624/135,762 = 135,762/x
  3. Step 3: Cross multiply
    101,624x = 135,762 × 135,762
  4. Step 4: Simplify right side
    101,624x = 18,431,320,644
  5. Step 5: Solve for x
    x = 18,431,320,644/101,624
  6. Step 6: Final answer
    x = 181,367.79

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.