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Finding the Third Proportional to 57,634 and 87,635

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Solution

The third proportional to 57,634 and 87,635 is: 133,252.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,634 : 87,635 = 87,635 : x
  2. Step 2: Convert to fraction form
    57,634/87,635 = 87,635/x
  3. Step 3: Cross multiply
    57,634x = 87,635 × 87,635
  4. Step 4: Simplify right side
    57,634x = 7,679,893,225
  5. Step 5: Solve for x
    x = 7,679,893,225/57,634
  6. Step 6: Final answer
    x = 133,252.82

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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.