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Finding the Third Proportional to 77,645 and 167,177

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Solution

The third proportional to 77,645 and 167,177 is: 359,947.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,645 : 167,177 = 167,177 : x
  2. Step 2: Convert to fraction form
    77,645/167,177 = 167,177/x
  3. Step 3: Cross multiply
    77,645x = 167,177 × 167,177
  4. Step 4: Simplify right side
    77,645x = 27,948,149,329
  5. Step 5: Solve for x
    x = 27,948,149,329/77,645
  6. Step 6: Final answer
    x = 359,947.83

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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.