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Finding the Third Proportional to 132,424 and 199,874

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Solution

The third proportional to 132,424 and 199,874 is: 301,679.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,424 : 199,874 = 199,874 : x
  2. Step 2: Convert to fraction form
    132,424/199,874 = 199,874/x
  3. Step 3: Cross multiply
    132,424x = 199,874 × 199,874
  4. Step 4: Simplify right side
    132,424x = 39,949,615,876
  5. Step 5: Solve for x
    x = 39,949,615,876/132,424
  6. Step 6: Final answer
    x = 301,679.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.