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Finding the Third Proportional to 41,733 and 90,543

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Solution

The third proportional to 41,733 and 90,543 is: 196,440.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,733 : 90,543 = 90,543 : x
  2. Step 2: Convert to fraction form
    41,733/90,543 = 90,543/x
  3. Step 3: Cross multiply
    41,733x = 90,543 × 90,543
  4. Step 4: Simplify right side
    41,733x = 8,198,034,849
  5. Step 5: Solve for x
    x = 8,198,034,849/41,733
  6. Step 6: Final answer
    x = 196,440.10

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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.