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Finding the Third Proportional to 90,573 and 195,015

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Solution

The third proportional to 90,573 and 195,015 is: 419,891.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,573 : 195,015 = 195,015 : x
  2. Step 2: Convert to fraction form
    90,573/195,015 = 195,015/x
  3. Step 3: Cross multiply
    90,573x = 195,015 × 195,015
  4. Step 4: Simplify right side
    90,573x = 38,030,850,225
  5. Step 5: Solve for x
    x = 38,030,850,225/90,573
  6. Step 6: Final answer
    x = 419,891.69

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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.