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Finding the Third Proportional to 33,569 and 73,131

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Solution

The third proportional to 33,569 and 73,131 is: 159,317.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,569 : 73,131 = 73,131 : x
  2. Step 2: Convert to fraction form
    33,569/73,131 = 73,131/x
  3. Step 3: Cross multiply
    33,569x = 73,131 × 73,131
  4. Step 4: Simplify right side
    33,569x = 5,348,143,161
  5. Step 5: Solve for x
    x = 5,348,143,161/33,569
  6. Step 6: Final answer
    x = 159,317.92

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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.