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Finding the Third Proportional to 120,620 and 166,674

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Solution

The third proportional to 120,620 and 166,674 is: 230,311.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,620 : 166,674 = 166,674 : x
  2. Step 2: Convert to fraction form
    120,620/166,674 = 166,674/x
  3. Step 3: Cross multiply
    120,620x = 166,674 × 166,674
  4. Step 4: Simplify right side
    120,620x = 27,780,222,276
  5. Step 5: Solve for x
    x = 27,780,222,276/120,620
  6. Step 6: Final answer
    x = 230,311.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.