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Finding the Third Proportional to 77,920 and 166,208

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Solution

The third proportional to 77,920 and 166,208 is: 354,531.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,920 : 166,208 = 166,208 : x
  2. Step 2: Convert to fraction form
    77,920/166,208 = 166,208/x
  3. Step 3: Cross multiply
    77,920x = 166,208 × 166,208
  4. Step 4: Simplify right side
    77,920x = 27,625,099,264
  5. Step 5: Solve for x
    x = 27,625,099,264/77,920
  6. Step 6: Final answer
    x = 354,531.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.