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Finding the Third Proportional to 70,812 and 108,694

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Solution

The third proportional to 70,812 and 108,694 is: 166,841.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,812 : 108,694 = 108,694 : x
  2. Step 2: Convert to fraction form
    70,812/108,694 = 108,694/x
  3. Step 3: Cross multiply
    70,812x = 108,694 × 108,694
  4. Step 4: Simplify right side
    70,812x = 11,814,385,636
  5. Step 5: Solve for x
    x = 11,814,385,636/70,812
  6. Step 6: Final answer
    x = 166,841.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.