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Finding the Third Proportional to 77,002 and 167,932

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Solution

The third proportional to 77,002 and 167,932 is: 366,239.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,002 : 167,932 = 167,932 : x
  2. Step 2: Convert to fraction form
    77,002/167,932 = 167,932/x
  3. Step 3: Cross multiply
    77,002x = 167,932 × 167,932
  4. Step 4: Simplify right side
    77,002x = 28,201,156,624
  5. Step 5: Solve for x
    x = 28,201,156,624/77,002
  6. Step 6: Final answer
    x = 366,239.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.