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Finding the Third Proportional to 41,585.50 and 90,279

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Solution

The third proportional to 41,585.50 and 90,279 is: 195,988.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,585.50 : 90,279 = 90,279 : x
  2. Step 2: Convert to fraction form
    41,585.50/90,279 = 90,279/x
  3. Step 3: Cross multiply
    41,585.50x = 90,279 × 90,279
  4. Step 4: Simplify right side
    41,585.50x = 8,150,297,841
  5. Step 5: Solve for x
    x = 8,150,297,841/41,585.50
  6. Step 6: Final answer
    x = 195,988.93

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.