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Finding the Third Proportional to 41,543 and 90,097

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Solution

The third proportional to 41,543 and 90,097 is: 195,399.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,543 : 90,097 = 90,097 : x
  2. Step 2: Convert to fraction form
    41,543/90,097 = 90,097/x
  3. Step 3: Cross multiply
    41,543x = 90,097 × 90,097
  4. Step 4: Simplify right side
    41,543x = 8,117,469,409
  5. Step 5: Solve for x
    x = 8,117,469,409/41,543
  6. Step 6: Final answer
    x = 195,399.21

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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.