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Finding the Third Proportional to 135,891 and 195,736.50

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Solution

The third proportional to 135,891 and 195,736.50 is: 281,937.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,891 : 195,736.50 = 195,736.50 : x
  2. Step 2: Convert to fraction form
    135,891/195,736.50 = 195,736.50/x
  3. Step 3: Cross multiply
    135,891x = 195,736.50 × 195,736.50
  4. Step 4: Simplify right side
    135,891x = 38,312,777,432.25
  5. Step 5: Solve for x
    x = 38,312,777,432.25/135,891
  6. Step 6: Final answer
    x = 281,937.56

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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.