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Finding the Third Proportional to 36,701 and 73,975

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Solution

The third proportional to 36,701 and 73,975 is: 149,104.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,701 : 73,975 = 73,975 : x
  2. Step 2: Convert to fraction form
    36,701/73,975 = 73,975/x
  3. Step 3: Cross multiply
    36,701x = 73,975 × 73,975
  4. Step 4: Simplify right side
    36,701x = 5,472,300,625
  5. Step 5: Solve for x
    x = 5,472,300,625/36,701
  6. Step 6: Final answer
    x = 149,104.95

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.