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Finding the Third Proportional to 41,542.50 and 90,096

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Solution

The third proportional to 41,542.50 and 90,096 is: 195,397.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,542.50 : 90,096 = 90,096 : x
  2. Step 2: Convert to fraction form
    41,542.50/90,096 = 90,096/x
  3. Step 3: Cross multiply
    41,542.50x = 90,096 × 90,096
  4. Step 4: Simplify right side
    41,542.50x = 8,117,289,216
  5. Step 5: Solve for x
    x = 8,117,289,216/41,542.50
  6. Step 6: Final answer
    x = 195,397.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.