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Finding the Third Proportional to 57,950 and 89,682

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Solution

The third proportional to 57,950 and 89,682 is: 138,789.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,950 : 89,682 = 89,682 : x
  2. Step 2: Convert to fraction form
    57,950/89,682 = 89,682/x
  3. Step 3: Cross multiply
    57,950x = 89,682 × 89,682
  4. Step 4: Simplify right side
    57,950x = 8,042,861,124
  5. Step 5: Solve for x
    x = 8,042,861,124/57,950
  6. Step 6: Final answer
    x = 138,789.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.