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Finding the Third Proportional to 41,164.03 and 85,557.94

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Solution

The third proportional to 41,164.03 and 85,557.94 is: 177,829.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,164.03 : 85,557.94 = 85,557.94 : x
  2. Step 2: Convert to fraction form
    41,164.03/85,557.94 = 85,557.94/x
  3. Step 3: Cross multiply
    41,164.03x = 85,557.94 × 85,557.94
  4. Step 4: Simplify right side
    41,164.03x = 7,320,160,669.25
  5. Step 5: Solve for x
    x = 7,320,160,669.25/41,164.03
  6. Step 6: Final answer
    x = 177,829.05

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.