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Finding the Third Proportional to 33,953 and 73,107

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Solution

The third proportional to 33,953 and 73,107 is: 157,412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,953 : 73,107 = 73,107 : x
  2. Step 2: Convert to fraction form
    33,953/73,107 = 73,107/x
  3. Step 3: Cross multiply
    33,953x = 73,107 × 73,107
  4. Step 4: Simplify right side
    33,953x = 5,344,633,449
  5. Step 5: Solve for x
    x = 5,344,633,449/33,953
  6. Step 6: Final answer
    x = 157,412.70

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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.