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Finding the Third Proportional to 41,967.75 and 90,147.38

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Solution

The third proportional to 41,967.75 and 90,147.38 is: 193,637.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,967.75 : 90,147.38 = 90,147.38 : x
  2. Step 2: Convert to fraction form
    41,967.75/90,147.38 = 90,147.38/x
  3. Step 3: Cross multiply
    41,967.75x = 90,147.38 × 90,147.38
  4. Step 4: Simplify right side
    41,967.75x = 8,126,549,219.39
  5. Step 5: Solve for x
    x = 8,126,549,219.39/41,967.75
  6. Step 6: Final answer
    x = 193,637.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.