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Finding the Third Proportional to 76,493 and 165,694

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Solution

The third proportional to 76,493 and 165,694 is: 358,915.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,493 : 165,694 = 165,694 : x
  2. Step 2: Convert to fraction form
    76,493/165,694 = 165,694/x
  3. Step 3: Cross multiply
    76,493x = 165,694 × 165,694
  4. Step 4: Simplify right side
    76,493x = 27,454,501,636
  5. Step 5: Solve for x
    x = 27,454,501,636/76,493
  6. Step 6: Final answer
    x = 358,915.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.