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Finding the Third Proportional to 57,450 and 82,745

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Solution

The third proportional to 57,450 and 82,745 is: 119,177.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,450 : 82,745 = 82,745 : x
  2. Step 2: Convert to fraction form
    57,450/82,745 = 82,745/x
  3. Step 3: Cross multiply
    57,450x = 82,745 × 82,745
  4. Step 4: Simplify right side
    57,450x = 6,846,735,025
  5. Step 5: Solve for x
    x = 6,846,735,025/57,450
  6. Step 6: Final answer
    x = 119,177.29

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.