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Finding the Third Proportional to 132,874 and 179,008

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Solution

The third proportional to 132,874 and 179,008 is: 241,159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,874 : 179,008 = 179,008 : x
  2. Step 2: Convert to fraction form
    132,874/179,008 = 179,008/x
  3. Step 3: Cross multiply
    132,874x = 179,008 × 179,008
  4. Step 4: Simplify right side
    132,874x = 32,043,864,064
  5. Step 5: Solve for x
    x = 32,043,864,064/132,874
  6. Step 6: Final answer
    x = 241,159.78

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.