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Finding the Third Proportional to 132,735 and 281,016

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Solution

The third proportional to 132,735 and 281,016 is: 594,944.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,735 : 281,016 = 281,016 : x
  2. Step 2: Convert to fraction form
    132,735/281,016 = 281,016/x
  3. Step 3: Cross multiply
    132,735x = 281,016 × 281,016
  4. Step 4: Simplify right side
    132,735x = 78,969,992,256
  5. Step 5: Solve for x
    x = 78,969,992,256/132,735
  6. Step 6: Final answer
    x = 594,944.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.