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Finding the Third Proportional to 84,694 and 126,625

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Solution

The third proportional to 84,694 and 126,625 is: 189,315.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,694 : 126,625 = 126,625 : x
  2. Step 2: Convert to fraction form
    84,694/126,625 = 126,625/x
  3. Step 3: Cross multiply
    84,694x = 126,625 × 126,625
  4. Step 4: Simplify right side
    84,694x = 16,033,890,625
  5. Step 5: Solve for x
    x = 16,033,890,625/84,694
  6. Step 6: Final answer
    x = 189,315.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.