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Finding the Third Proportional to 135,975 and 195,844.50

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Solution

The third proportional to 135,975 and 195,844.50 is: 282,074.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,975 : 195,844.50 = 195,844.50 : x
  2. Step 2: Convert to fraction form
    135,975/195,844.50 = 195,844.50/x
  3. Step 3: Cross multiply
    135,975x = 195,844.50 × 195,844.50
  4. Step 4: Simplify right side
    135,975x = 38,355,068,180.25
  5. Step 5: Solve for x
    x = 38,355,068,180.25/135,975
  6. Step 6: Final answer
    x = 282,074.41

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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.