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Finding the Third Proportional to 44,524 and 94,016

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Solution

The third proportional to 44,524 and 94,016 is: 198,522.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,524 : 94,016 = 94,016 : x
  2. Step 2: Convert to fraction form
    44,524/94,016 = 94,016/x
  3. Step 3: Cross multiply
    44,524x = 94,016 × 94,016
  4. Step 4: Simplify right side
    44,524x = 8,839,008,256
  5. Step 5: Solve for x
    x = 8,839,008,256/44,524
  6. Step 6: Final answer
    x = 198,522.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.