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Finding the Third Proportional to 57,454 and 82,751

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Solution

The third proportional to 57,454 and 82,751 is: 119,186.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,454 : 82,751 = 82,751 : x
  2. Step 2: Convert to fraction form
    57,454/82,751 = 82,751/x
  3. Step 3: Cross multiply
    57,454x = 82,751 × 82,751
  4. Step 4: Simplify right side
    57,454x = 6,847,728,001
  5. Step 5: Solve for x
    x = 6,847,728,001/57,454
  6. Step 6: Final answer
    x = 119,186.27

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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.