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Finding the Third Proportional to 57,453 and 82,749

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Solution

The third proportional to 57,453 and 82,749 is: 119,182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,453 : 82,749 = 82,749 : x
  2. Step 2: Convert to fraction form
    57,453/82,749 = 82,749/x
  3. Step 3: Cross multiply
    57,453x = 82,749 × 82,749
  4. Step 4: Simplify right side
    57,453x = 6,847,397,001
  5. Step 5: Solve for x
    x = 6,847,397,001/57,453
  6. Step 6: Final answer
    x = 119,182.58

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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.