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Finding the Third Proportional to 77,267 and 162,975

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Solution

The third proportional to 77,267 and 162,975 is: 343,754.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,267 : 162,975 = 162,975 : x
  2. Step 2: Convert to fraction form
    77,267/162,975 = 162,975/x
  3. Step 3: Cross multiply
    77,267x = 162,975 × 162,975
  4. Step 4: Simplify right side
    77,267x = 26,560,850,625
  5. Step 5: Solve for x
    x = 26,560,850,625/77,267
  6. Step 6: Final answer
    x = 343,754.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.