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Finding the Third Proportional to 83,544 and 179,232

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Solution

The third proportional to 83,544 and 179,232 is: 384,517.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,544 : 179,232 = 179,232 : x
  2. Step 2: Convert to fraction form
    83,544/179,232 = 179,232/x
  3. Step 3: Cross multiply
    83,544x = 179,232 × 179,232
  4. Step 4: Simplify right side
    83,544x = 32,124,109,824
  5. Step 5: Solve for x
    x = 32,124,109,824/83,544
  6. Step 6: Final answer
    x = 384,517.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.