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Finding the Third Proportional to 76,833 and 165,519

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Solution

The third proportional to 76,833 and 165,519 is: 356,572.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,833 : 165,519 = 165,519 : x
  2. Step 2: Convert to fraction form
    76,833/165,519 = 165,519/x
  3. Step 3: Cross multiply
    76,833x = 165,519 × 165,519
  4. Step 4: Simplify right side
    76,833x = 27,396,539,361
  5. Step 5: Solve for x
    x = 27,396,539,361/76,833
  6. Step 6: Final answer
    x = 356,572.56

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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.