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Finding the Third Proportional to 57,366.23 and 80,641.66

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Solution

The third proportional to 57,366.23 and 80,641.66 is: 113,360.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,366.23 : 80,641.66 = 80,641.66 : x
  2. Step 2: Convert to fraction form
    57,366.23/80,641.66 = 80,641.66/x
  3. Step 3: Cross multiply
    57,366.23x = 80,641.66 × 80,641.66
  4. Step 4: Simplify right side
    57,366.23x = 6,503,077,982.77
  5. Step 5: Solve for x
    x = 6,503,077,982.77/57,366.23
  6. Step 6: Final answer
    x = 113,360.73

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Why These Related Problems?

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