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Finding the Third Proportional to 36,162 and 74,085.75

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Solution

The third proportional to 36,162 and 74,085.75 is: 151,780.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,162 : 74,085.75 = 74,085.75 : x
  2. Step 2: Convert to fraction form
    36,162/74,085.75 = 74,085.75/x
  3. Step 3: Cross multiply
    36,162x = 74,085.75 × 74,085.75
  4. Step 4: Simplify right side
    36,162x = 5,488,698,353.06
  5. Step 5: Solve for x
    x = 5,488,698,353.06/36,162
  6. Step 6: Final answer
    x = 151,780.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.