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Finding the Third Proportional to 120,738 and 163,974

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Solution

The third proportional to 120,738 and 163,974 is: 222,692.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,738 : 163,974 = 163,974 : x
  2. Step 2: Convert to fraction form
    120,738/163,974 = 163,974/x
  3. Step 3: Cross multiply
    120,738x = 163,974 × 163,974
  4. Step 4: Simplify right side
    120,738x = 26,887,472,676
  5. Step 5: Solve for x
    x = 26,887,472,676/120,738
  6. Step 6: Final answer
    x = 222,692.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.