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Finding the Third Proportional to 76,620.75 and 162,456.75

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Solution

The third proportional to 76,620.75 and 162,456.75 is: 344,452.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,620.75 : 162,456.75 = 162,456.75 : x
  2. Step 2: Convert to fraction form
    76,620.75/162,456.75 = 162,456.75/x
  3. Step 3: Cross multiply
    76,620.75x = 162,456.75 × 162,456.75
  4. Step 4: Simplify right side
    76,620.75x = 26,392,195,620.56
  5. Step 5: Solve for x
    x = 26,392,195,620.56/76,620.75
  6. Step 6: Final answer
    x = 344,452.33

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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.