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Finding the Third Proportional to 90,052 and 194,067

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Solution

The third proportional to 90,052 and 194,067 is: 418,225.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,052 : 194,067 = 194,067 : x
  2. Step 2: Convert to fraction form
    90,052/194,067 = 194,067/x
  3. Step 3: Cross multiply
    90,052x = 194,067 × 194,067
  4. Step 4: Simplify right side
    90,052x = 37,662,000,489
  5. Step 5: Solve for x
    x = 37,662,000,489/90,052
  6. Step 6: Final answer
    x = 418,225.03

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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.