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Finding the Third Proportional to 40,544 and 94,192

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Solution

The third proportional to 40,544 and 94,192 is: 218,827.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,544 : 94,192 = 94,192 : x
  2. Step 2: Convert to fraction form
    40,544/94,192 = 94,192/x
  3. Step 3: Cross multiply
    40,544x = 94,192 × 94,192
  4. Step 4: Simplify right side
    40,544x = 8,872,132,864
  5. Step 5: Solve for x
    x = 8,872,132,864/40,544
  6. Step 6: Final answer
    x = 218,827.27

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.