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Finding the Third Proportional to 34,618 and 81,694

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Solution

The third proportional to 34,618 and 81,694 is: 192,787.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,618 : 81,694 = 81,694 : x
  2. Step 2: Convert to fraction form
    34,618/81,694 = 81,694/x
  3. Step 3: Cross multiply
    34,618x = 81,694 × 81,694
  4. Step 4: Simplify right side
    34,618x = 6,673,909,636
  5. Step 5: Solve for x
    x = 6,673,909,636/34,618
  6. Step 6: Final answer
    x = 192,787.27

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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.