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Finding the Third Proportional to 36,212 and 75,734

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Solution

The third proportional to 36,212 and 75,734 is: 158,390.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,212 : 75,734 = 75,734 : x
  2. Step 2: Convert to fraction form
    36,212/75,734 = 75,734/x
  3. Step 3: Cross multiply
    36,212x = 75,734 × 75,734
  4. Step 4: Simplify right side
    36,212x = 5,735,638,756
  5. Step 5: Solve for x
    x = 5,735,638,756/36,212
  6. Step 6: Final answer
    x = 158,390.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.