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Finding the Third Proportional to 71,879 and 108,827

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Solution

The third proportional to 71,879 and 108,827 is: 164,767.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,879 : 108,827 = 108,827 : x
  2. Step 2: Convert to fraction form
    71,879/108,827 = 108,827/x
  3. Step 3: Cross multiply
    71,879x = 108,827 × 108,827
  4. Step 4: Simplify right side
    71,879x = 11,843,315,929
  5. Step 5: Solve for x
    x = 11,843,315,929/71,879
  6. Step 6: Final answer
    x = 164,767.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.