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Finding the Third Proportional to 36,154.88 and 74,071.38

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Solution

The third proportional to 36,154.88 and 74,071.38 is: 151,751.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,154.88 : 74,071.38 = 74,071.38 : x
  2. Step 2: Convert to fraction form
    36,154.88/74,071.38 = 74,071.38/x
  3. Step 3: Cross multiply
    36,154.88x = 74,071.38 × 74,071.38
  4. Step 4: Simplify right side
    36,154.88x = 5,486,568,594.39
  5. Step 5: Solve for x
    x = 5,486,568,594.39/36,154.88
  6. Step 6: Final answer
    x = 151,751.83

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