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Finding the Third Proportional to 41,903 and 90,367

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Solution

The third proportional to 41,903 and 90,367 is: 194,883.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,903 : 90,367 = 90,367 : x
  2. Step 2: Convert to fraction form
    41,903/90,367 = 90,367/x
  3. Step 3: Cross multiply
    41,903x = 90,367 × 90,367
  4. Step 4: Simplify right side
    41,903x = 8,166,194,689
  5. Step 5: Solve for x
    x = 8,166,194,689/41,903
  6. Step 6: Final answer
    x = 194,883.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.