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Finding the Third Proportional to 80,976 and 113,232

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Solution

The third proportional to 80,976 and 113,232 is: 158,336.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,976 : 113,232 = 113,232 : x
  2. Step 2: Convert to fraction form
    80,976/113,232 = 113,232/x
  3. Step 3: Cross multiply
    80,976x = 113,232 × 113,232
  4. Step 4: Simplify right side
    80,976x = 12,821,485,824
  5. Step 5: Solve for x
    x = 12,821,485,824/80,976
  6. Step 6: Final answer
    x = 158,336.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.