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Finding the Third Proportional to 90,042 and 193,425

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Solution

The third proportional to 90,042 and 193,425 is: 415,508.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,042 : 193,425 = 193,425 : x
  2. Step 2: Convert to fraction form
    90,042/193,425 = 193,425/x
  3. Step 3: Cross multiply
    90,042x = 193,425 × 193,425
  4. Step 4: Simplify right side
    90,042x = 37,413,230,625
  5. Step 5: Solve for x
    x = 37,413,230,625/90,042
  6. Step 6: Final answer
    x = 415,508.66

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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.