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Finding the Third Proportional to 109,717 and 146,775

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Solution

The third proportional to 109,717 and 146,775 is: 196,349.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,717 : 146,775 = 146,775 : x
  2. Step 2: Convert to fraction form
    109,717/146,775 = 146,775/x
  3. Step 3: Cross multiply
    109,717x = 146,775 × 146,775
  4. Step 4: Simplify right side
    109,717x = 21,542,900,625
  5. Step 5: Solve for x
    x = 21,542,900,625/109,717
  6. Step 6: Final answer
    x = 196,349.71

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.