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Finding the Third Proportional to 57,591 and 87,270.75

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Solution

The third proportional to 57,591 and 87,270.75 is: 132,246.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,591 : 87,270.75 = 87,270.75 : x
  2. Step 2: Convert to fraction form
    57,591/87,270.75 = 87,270.75/x
  3. Step 3: Cross multiply
    57,591x = 87,270.75 × 87,270.75
  4. Step 4: Simplify right side
    57,591x = 7,616,183,805.56
  5. Step 5: Solve for x
    x = 7,616,183,805.56/57,591
  6. Step 6: Final answer
    x = 132,246.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.