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Finding the Third Proportional to 70,068 and 107,694

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Solution

The third proportional to 70,068 and 107,694 is: 165,524.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,068 : 107,694 = 107,694 : x
  2. Step 2: Convert to fraction form
    70,068/107,694 = 107,694/x
  3. Step 3: Cross multiply
    70,068x = 107,694 × 107,694
  4. Step 4: Simplify right side
    70,068x = 11,597,997,636
  5. Step 5: Solve for x
    x = 11,597,997,636/70,068
  6. Step 6: Final answer
    x = 165,524.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.