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Finding the Third Proportional to 38,544 and 84,144

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Solution

The third proportional to 38,544 and 84,144 is: 183,691.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,544 : 84,144 = 84,144 : x
  2. Step 2: Convert to fraction form
    38,544/84,144 = 84,144/x
  3. Step 3: Cross multiply
    38,544x = 84,144 × 84,144
  4. Step 4: Simplify right side
    38,544x = 7,080,212,736
  5. Step 5: Solve for x
    x = 7,080,212,736/38,544
  6. Step 6: Final answer
    x = 183,691.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.