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Finding the Third Proportional to 77,311.75 and 167,743

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Solution

The third proportional to 77,311.75 and 167,743 is: 363,951.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,311.75 : 167,743 = 167,743 : x
  2. Step 2: Convert to fraction form
    77,311.75/167,743 = 167,743/x
  3. Step 3: Cross multiply
    77,311.75x = 167,743 × 167,743
  4. Step 4: Simplify right side
    77,311.75x = 28,137,714,049
  5. Step 5: Solve for x
    x = 28,137,714,049/77,311.75
  6. Step 6: Final answer
    x = 363,951.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.