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Finding the Third Proportional to 44,304 and 73,836

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Solution

The third proportional to 44,304 and 73,836 is: 123,053.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,304 : 73,836 = 73,836 : x
  2. Step 2: Convert to fraction form
    44,304/73,836 = 73,836/x
  3. Step 3: Cross multiply
    44,304x = 73,836 × 73,836
  4. Step 4: Simplify right side
    44,304x = 5,451,754,896
  5. Step 5: Solve for x
    x = 5,451,754,896/44,304
  6. Step 6: Final answer
    x = 123,053.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.