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Finding the Third Proportional to 134,624 and 193,917

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Solution

The third proportional to 134,624 and 193,917 is: 279,324.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,624 : 193,917 = 193,917 : x
  2. Step 2: Convert to fraction form
    134,624/193,917 = 193,917/x
  3. Step 3: Cross multiply
    134,624x = 193,917 × 193,917
  4. Step 4: Simplify right side
    134,624x = 37,603,802,889
  5. Step 5: Solve for x
    x = 37,603,802,889/134,624
  6. Step 6: Final answer
    x = 279,324.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.