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Finding the Third Proportional to 77,961 and 165,192

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Solution

The third proportional to 77,961 and 165,192 is: 350,026.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,961 : 165,192 = 165,192 : x
  2. Step 2: Convert to fraction form
    77,961/165,192 = 165,192/x
  3. Step 3: Cross multiply
    77,961x = 165,192 × 165,192
  4. Step 4: Simplify right side
    77,961x = 27,288,396,864
  5. Step 5: Solve for x
    x = 27,288,396,864/77,961
  6. Step 6: Final answer
    x = 350,026.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.