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Finding the Third Proportional to 76,674 and 166,848

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Solution

The third proportional to 76,674 and 166,848 is: 363,072.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,674 : 166,848 = 166,848 : x
  2. Step 2: Convert to fraction form
    76,674/166,848 = 166,848/x
  3. Step 3: Cross multiply
    76,674x = 166,848 × 166,848
  4. Step 4: Simplify right side
    76,674x = 27,838,255,104
  5. Step 5: Solve for x
    x = 27,838,255,104/76,674
  6. Step 6: Final answer
    x = 363,072.95

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Why These Related Problems?

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