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Finding the Third Proportional to 82,879 and 131,443

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Solution

The third proportional to 82,879 and 131,443 is: 208,463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,879 : 131,443 = 131,443 : x
  2. Step 2: Convert to fraction form
    82,879/131,443 = 131,443/x
  3. Step 3: Cross multiply
    82,879x = 131,443 × 131,443
  4. Step 4: Simplify right side
    82,879x = 17,277,262,249
  5. Step 5: Solve for x
    x = 17,277,262,249/82,879
  6. Step 6: Final answer
    x = 208,463.69

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.