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Finding the Third Proportional to 76,756 and 165,176

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Solution

The third proportional to 76,756 and 165,176 is: 355,452.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,756 : 165,176 = 165,176 : x
  2. Step 2: Convert to fraction form
    76,756/165,176 = 165,176/x
  3. Step 3: Cross multiply
    76,756x = 165,176 × 165,176
  4. Step 4: Simplify right side
    76,756x = 27,283,110,976
  5. Step 5: Solve for x
    x = 27,283,110,976/76,756
  6. Step 6: Final answer
    x = 355,452.49

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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.