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Finding the Third Proportional to 40,764 and 90,273

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Solution

The third proportional to 40,764 and 90,273 is: 199,912.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,764 : 90,273 = 90,273 : x
  2. Step 2: Convert to fraction form
    40,764/90,273 = 90,273/x
  3. Step 3: Cross multiply
    40,764x = 90,273 × 90,273
  4. Step 4: Simplify right side
    40,764x = 8,149,214,529
  5. Step 5: Solve for x
    x = 8,149,214,529/40,764
  6. Step 6: Final answer
    x = 199,912.04

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.