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Finding the Third Proportional to 49,879 and 107,671

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Solution

The third proportional to 49,879 and 107,671 is: 232,423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,879 : 107,671 = 107,671 : x
  2. Step 2: Convert to fraction form
    49,879/107,671 = 107,671/x
  3. Step 3: Cross multiply
    49,879x = 107,671 × 107,671
  4. Step 4: Simplify right side
    49,879x = 11,593,044,241
  5. Step 5: Solve for x
    x = 11,593,044,241/49,879
  6. Step 6: Final answer
    x = 232,423.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.