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Finding the Third Proportional to 135,894 and 195,741

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Solution

The third proportional to 135,894 and 195,741 is: 281,944.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,894 : 195,741 = 195,741 : x
  2. Step 2: Convert to fraction form
    135,894/195,741 = 195,741/x
  3. Step 3: Cross multiply
    135,894x = 195,741 × 195,741
  4. Step 4: Simplify right side
    135,894x = 38,314,539,081
  5. Step 5: Solve for x
    x = 38,314,539,081/135,894
  6. Step 6: Final answer
    x = 281,944.30

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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.