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Finding the Third Proportional to 125,738 and 167,866

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Solution

The third proportional to 125,738 and 167,866 is: 224,108.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,738 : 167,866 = 167,866 : x
  2. Step 2: Convert to fraction form
    125,738/167,866 = 167,866/x
  3. Step 3: Cross multiply
    125,738x = 167,866 × 167,866
  4. Step 4: Simplify right side
    125,738x = 28,178,993,956
  5. Step 5: Solve for x
    x = 28,178,993,956/125,738
  6. Step 6: Final answer
    x = 224,108.81

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.