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Finding the Third Proportional to 41,203.69 and 85,255.03

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Solution

The third proportional to 41,203.69 and 85,255.03 is: 176,402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,203.69 : 85,255.03 = 85,255.03 : x
  2. Step 2: Convert to fraction form
    41,203.69/85,255.03 = 85,255.03/x
  3. Step 3: Cross multiply
    41,203.69x = 85,255.03 × 85,255.03
  4. Step 4: Simplify right side
    41,203.69x = 7,268,420,353.44
  5. Step 5: Solve for x
    x = 7,268,420,353.44/41,203.69
  6. Step 6: Final answer
    x = 176,402.18

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.