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Finding the Third Proportional to 78,066 and 167,976

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Solution

The third proportional to 78,066 and 167,976 is: 361,436.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,066 : 167,976 = 167,976 : x
  2. Step 2: Convert to fraction form
    78,066/167,976 = 167,976/x
  3. Step 3: Cross multiply
    78,066x = 167,976 × 167,976
  4. Step 4: Simplify right side
    78,066x = 28,215,936,576
  5. Step 5: Solve for x
    x = 28,215,936,576/78,066
  6. Step 6: Final answer
    x = 361,436.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.