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Finding the Third Proportional to 47,558 and 71,188

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Solution

The third proportional to 47,558 and 71,188 is: 106,558.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,558 : 71,188 = 71,188 : x
  2. Step 2: Convert to fraction form
    47,558/71,188 = 71,188/x
  3. Step 3: Cross multiply
    47,558x = 71,188 × 71,188
  4. Step 4: Simplify right side
    47,558x = 5,067,731,344
  5. Step 5: Solve for x
    x = 5,067,731,344/47,558
  6. Step 6: Final answer
    x = 106,558.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.