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Finding the Third Proportional to 41,535 and 90,081

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Solution

The third proportional to 41,535 and 90,081 is: 195,367.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,535 : 90,081 = 90,081 : x
  2. Step 2: Convert to fraction form
    41,535/90,081 = 90,081/x
  3. Step 3: Cross multiply
    41,535x = 90,081 × 90,081
  4. Step 4: Simplify right side
    41,535x = 8,114,586,561
  5. Step 5: Solve for x
    x = 8,114,586,561/41,535
  6. Step 6: Final answer
    x = 195,367.44

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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.