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Finding the Third Proportional to 40,879 and 88,221

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Solution

The third proportional to 40,879 and 88,221 is: 190,389.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,879 : 88,221 = 88,221 : x
  2. Step 2: Convert to fraction form
    40,879/88,221 = 88,221/x
  3. Step 3: Cross multiply
    40,879x = 88,221 × 88,221
  4. Step 4: Simplify right side
    40,879x = 7,782,944,841
  5. Step 5: Solve for x
    x = 7,782,944,841/40,879
  6. Step 6: Final answer
    x = 190,389.81

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Why These Related Problems?

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