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Finding the Third Proportional to 42,360 and 90,198

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Solution

The third proportional to 42,360 and 90,198 is: 192,060.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,360 : 90,198 = 90,198 : x
  2. Step 2: Convert to fraction form
    42,360/90,198 = 90,198/x
  3. Step 3: Cross multiply
    42,360x = 90,198 × 90,198
  4. Step 4: Simplify right side
    42,360x = 8,135,679,204
  5. Step 5: Solve for x
    x = 8,135,679,204/42,360
  6. Step 6: Final answer
    x = 192,060.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.