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Finding the Third Proportional to 82,756 and 177,176

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Solution

The third proportional to 82,756 and 177,176 is: 379,323.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,756 : 177,176 = 177,176 : x
  2. Step 2: Convert to fraction form
    82,756/177,176 = 177,176/x
  3. Step 3: Cross multiply
    82,756x = 177,176 × 177,176
  4. Step 4: Simplify right side
    82,756x = 31,391,334,976
  5. Step 5: Solve for x
    x = 31,391,334,976/82,756
  6. Step 6: Final answer
    x = 379,323.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.