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Finding the Third Proportional to 41,127.75 and 85,485.38

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Solution

The third proportional to 41,127.75 and 85,485.38 is: 177,684.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,127.75 : 85,485.38 = 85,485.38 : x
  2. Step 2: Convert to fraction form
    41,127.75/85,485.38 = 85,485.38/x
  3. Step 3: Cross multiply
    41,127.75x = 85,485.38 × 85,485.38
  4. Step 4: Simplify right side
    41,127.75x = 7,307,749,338.89
  5. Step 5: Solve for x
    x = 7,307,749,338.89/41,127.75
  6. Step 6: Final answer
    x = 177,684.15

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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.