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Finding the Third Proportional to 132,934 and 189,608

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Solution

The third proportional to 132,934 and 189,608 is: 270,443.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,934 : 189,608 = 189,608 : x
  2. Step 2: Convert to fraction form
    132,934/189,608 = 189,608/x
  3. Step 3: Cross multiply
    132,934x = 189,608 × 189,608
  4. Step 4: Simplify right side
    132,934x = 35,951,193,664
  5. Step 5: Solve for x
    x = 35,951,193,664/132,934
  6. Step 6: Final answer
    x = 270,443.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.