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Finding the Third Proportional to 40,733.44 and 85,191.75

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Solution

The third proportional to 40,733.44 and 85,191.75 is: 178,173.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,733.44 : 85,191.75 = 85,191.75 : x
  2. Step 2: Convert to fraction form
    40,733.44/85,191.75 = 85,191.75/x
  3. Step 3: Cross multiply
    40,733.44x = 85,191.75 × 85,191.75
  4. Step 4: Simplify right side
    40,733.44x = 7,257,634,268.06
  5. Step 5: Solve for x
    x = 7,257,634,268.06/40,733.44
  6. Step 6: Final answer
    x = 178,173.87

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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.