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Finding the Third Proportional to 76,922 and 165,556

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Solution

The third proportional to 76,922 and 165,556 is: 356,319.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,922 : 165,556 = 165,556 : x
  2. Step 2: Convert to fraction form
    76,922/165,556 = 165,556/x
  3. Step 3: Cross multiply
    76,922x = 165,556 × 165,556
  4. Step 4: Simplify right side
    76,922x = 27,408,789,136
  5. Step 5: Solve for x
    x = 27,408,789,136/76,922
  6. Step 6: Final answer
    x = 356,319.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.