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Finding the Third Proportional to 57,591 and 125,620.88

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Solution

The third proportional to 57,591 and 125,620.88 is: 274,011.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,591 : 125,620.88 = 125,620.88 : x
  2. Step 2: Convert to fraction form
    57,591/125,620.88 = 125,620.88/x
  3. Step 3: Cross multiply
    57,591x = 125,620.88 × 125,620.88
  4. Step 4: Simplify right side
    57,591x = 15,780,604,235.77
  5. Step 5: Solve for x
    x = 15,780,604,235.77/57,591
  6. Step 6: Final answer
    x = 274,011.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.