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Finding the Third Proportional to 90,066 and 194,092

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Solution

The third proportional to 90,066 and 194,092 is: 418,267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,066 : 194,092 = 194,092 : x
  2. Step 2: Convert to fraction form
    90,066/194,092 = 194,092/x
  3. Step 3: Cross multiply
    90,066x = 194,092 × 194,092
  4. Step 4: Simplify right side
    90,066x = 37,671,704,464
  5. Step 5: Solve for x
    x = 37,671,704,464/90,066
  6. Step 6: Final answer
    x = 418,267.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.