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Finding the Third Proportional to 135,908 and 195,762

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Solution

The third proportional to 135,908 and 195,762 is: 281,975.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,908 : 195,762 = 195,762 : x
  2. Step 2: Convert to fraction form
    135,908/195,762 = 195,762/x
  3. Step 3: Cross multiply
    135,908x = 195,762 × 195,762
  4. Step 4: Simplify right side
    135,908x = 38,322,760,644
  5. Step 5: Solve for x
    x = 38,322,760,644/135,908
  6. Step 6: Final answer
    x = 281,975.75

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.