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Finding the Third Proportional to 33,762 and 78,163

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Solution

The third proportional to 33,762 and 78,163 is: 180,956.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,762 : 78,163 = 78,163 : x
  2. Step 2: Convert to fraction form
    33,762/78,163 = 78,163/x
  3. Step 3: Cross multiply
    33,762x = 78,163 × 78,163
  4. Step 4: Simplify right side
    33,762x = 6,109,454,569
  5. Step 5: Solve for x
    x = 6,109,454,569/33,762
  6. Step 6: Final answer
    x = 180,956.54

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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.