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Finding the Third Proportional to 76,759.50 and 165,183

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Solution

The third proportional to 76,759.50 and 165,183 is: 355,466.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,759.50 : 165,183 = 165,183 : x
  2. Step 2: Convert to fraction form
    76,759.50/165,183 = 165,183/x
  3. Step 3: Cross multiply
    76,759.50x = 165,183 × 165,183
  4. Step 4: Simplify right side
    76,759.50x = 27,285,423,489
  5. Step 5: Solve for x
    x = 27,285,423,489/76,759.50
  6. Step 6: Final answer
    x = 355,466.40

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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.