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Finding the Third Proportional to 91,723 and 197,005

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Solution

The third proportional to 91,723 and 197,005 is: 423,132.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,723 : 197,005 = 197,005 : x
  2. Step 2: Convert to fraction form
    91,723/197,005 = 197,005/x
  3. Step 3: Cross multiply
    91,723x = 197,005 × 197,005
  4. Step 4: Simplify right side
    91,723x = 38,810,970,025
  5. Step 5: Solve for x
    x = 38,810,970,025/91,723
  6. Step 6: Final answer
    x = 423,132.37

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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.