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Finding the Third Proportional to 59,628 and 80,694

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Solution

The third proportional to 59,628 and 80,694 is: 109,202.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,628 : 80,694 = 80,694 : x
  2. Step 2: Convert to fraction form
    59,628/80,694 = 80,694/x
  3. Step 3: Cross multiply
    59,628x = 80,694 × 80,694
  4. Step 4: Simplify right side
    59,628x = 6,511,521,636
  5. Step 5: Solve for x
    x = 6,511,521,636/59,628
  6. Step 6: Final answer
    x = 109,202.42

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.