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Finding the Third Proportional to 135,896 and 195,744

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Solution

The third proportional to 135,896 and 195,744 is: 281,948.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,896 : 195,744 = 195,744 : x
  2. Step 2: Convert to fraction form
    135,896/195,744 = 195,744/x
  3. Step 3: Cross multiply
    135,896x = 195,744 × 195,744
  4. Step 4: Simplify right side
    135,896x = 38,315,713,536
  5. Step 5: Solve for x
    x = 38,315,713,536/135,896
  6. Step 6: Final answer
    x = 281,948.80

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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.