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Finding the Third Proportional to 57,591 and 87,192

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Solution

The third proportional to 57,591 and 87,192 is: 132,007.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,591 : 87,192 = 87,192 : x
  2. Step 2: Convert to fraction form
    57,591/87,192 = 87,192/x
  3. Step 3: Cross multiply
    57,591x = 87,192 × 87,192
  4. Step 4: Simplify right side
    57,591x = 7,602,444,864
  5. Step 5: Solve for x
    x = 7,602,444,864/57,591
  6. Step 6: Final answer
    x = 132,007.52

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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.