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Finding the Third Proportional to 57,367.69 and 80,643.38

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Solution

The third proportional to 57,367.69 and 80,643.38 is: 113,362.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,367.69 : 80,643.38 = 80,643.38 : x
  2. Step 2: Convert to fraction form
    57,367.69/80,643.38 = 80,643.38/x
  3. Step 3: Cross multiply
    57,367.69x = 80,643.38 × 80,643.38
  4. Step 4: Simplify right side
    57,367.69x = 6,503,353,931.39
  5. Step 5: Solve for x
    x = 6,503,353,931.39/57,367.69
  6. Step 6: Final answer
    x = 113,362.66

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.