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Finding the Third Proportional to 90,796 and 179,267

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Solution

The third proportional to 90,796 and 179,267 is: 353,943.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,796 : 179,267 = 179,267 : x
  2. Step 2: Convert to fraction form
    90,796/179,267 = 179,267/x
  3. Step 3: Cross multiply
    90,796x = 179,267 × 179,267
  4. Step 4: Simplify right side
    90,796x = 32,136,657,289
  5. Step 5: Solve for x
    x = 32,136,657,289/90,796
  6. Step 6: Final answer
    x = 353,943.54

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.