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Finding the Third Proportional to 119,544 and 167,538

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Solution

The third proportional to 119,544 and 167,538 is: 234,800.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,544 : 167,538 = 167,538 : x
  2. Step 2: Convert to fraction form
    119,544/167,538 = 167,538/x
  3. Step 3: Cross multiply
    119,544x = 167,538 × 167,538
  4. Step 4: Simplify right side
    119,544x = 28,068,981,444
  5. Step 5: Solve for x
    x = 28,068,981,444/119,544
  6. Step 6: Final answer
    x = 234,800.42

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.