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Finding the Third Proportional to 76,899 and 165,462

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Solution

The third proportional to 76,899 and 165,462 is: 356,021.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,899 : 165,462 = 165,462 : x
  2. Step 2: Convert to fraction form
    76,899/165,462 = 165,462/x
  3. Step 3: Cross multiply
    76,899x = 165,462 × 165,462
  4. Step 4: Simplify right side
    76,899x = 27,377,673,444
  5. Step 5: Solve for x
    x = 27,377,673,444/76,899
  6. Step 6: Final answer
    x = 356,021.19

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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.