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Finding the Third Proportional to 76,776.75 and 165,546.75

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Solution

The third proportional to 76,776.75 and 165,546.75 is: 356,953.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,776.75 : 165,546.75 = 165,546.75 : x
  2. Step 2: Convert to fraction form
    76,776.75/165,546.75 = 165,546.75/x
  3. Step 3: Cross multiply
    76,776.75x = 165,546.75 × 165,546.75
  4. Step 4: Simplify right side
    76,776.75x = 27,405,726,435.56
  5. Step 5: Solve for x
    x = 27,405,726,435.56/76,776.75
  6. Step 6: Final answer
    x = 356,953.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.