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Finding the Third Proportional to 33,766 and 78,170

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Solution

The third proportional to 33,766 and 78,170 is: 180,967.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,766 : 78,170 = 78,170 : x
  2. Step 2: Convert to fraction form
    33,766/78,170 = 78,170/x
  3. Step 3: Cross multiply
    33,766x = 78,170 × 78,170
  4. Step 4: Simplify right side
    33,766x = 6,110,548,900
  5. Step 5: Solve for x
    x = 6,110,548,900/33,766
  6. Step 6: Final answer
    x = 180,967.51

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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.