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Finding the Third Proportional to 41,168.25 and 84,128.63

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Solution

The third proportional to 41,168.25 and 84,128.63 is: 171,919.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,168.25 : 84,128.63 = 84,128.63 : x
  2. Step 2: Convert to fraction form
    41,168.25/84,128.63 = 84,128.63/x
  3. Step 3: Cross multiply
    41,168.25x = 84,128.63 × 84,128.63
  4. Step 4: Simplify right side
    41,168.25x = 7,077,625,544.39
  5. Step 5: Solve for x
    x = 7,077,625,544.39/41,168.25
  6. Step 6: Final answer
    x = 171,919.51

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.