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Finding the Third Proportional to 91,296 and 197,172

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Solution

The third proportional to 91,296 and 197,172 is: 425,832.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,296 : 197,172 = 197,172 : x
  2. Step 2: Convert to fraction form
    91,296/197,172 = 197,172/x
  3. Step 3: Cross multiply
    91,296x = 197,172 × 197,172
  4. Step 4: Simplify right side
    91,296x = 38,876,797,584
  5. Step 5: Solve for x
    x = 38,876,797,584/91,296
  6. Step 6: Final answer
    x = 425,832.43

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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.