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Finding the Third Proportional to 34,717 and 81,898

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Solution

The third proportional to 34,717 and 81,898 is: 193,198.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,717 : 81,898 = 81,898 : x
  2. Step 2: Convert to fraction form
    34,717/81,898 = 81,898/x
  3. Step 3: Cross multiply
    34,717x = 81,898 × 81,898
  4. Step 4: Simplify right side
    34,717x = 6,707,282,404
  5. Step 5: Solve for x
    x = 6,707,282,404/34,717
  6. Step 6: Final answer
    x = 193,198.79

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.