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Finding the Third Proportional to 41,542.75 and 90,604.38

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Solution

The third proportional to 41,542.75 and 90,604.38 is: 197,607.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,542.75 : 90,604.38 = 90,604.38 : x
  2. Step 2: Convert to fraction form
    41,542.75/90,604.38 = 90,604.38/x
  3. Step 3: Cross multiply
    41,542.75x = 90,604.38 × 90,604.38
  4. Step 4: Simplify right side
    41,542.75x = 8,209,152,769.14
  5. Step 5: Solve for x
    x = 8,209,152,769.14/41,542.75
  6. Step 6: Final answer
    x = 197,607.35

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.