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Finding the Third Proportional to 57,668 and 125,182

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Solution

The third proportional to 57,668 and 125,182 is: 271,737.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,668 : 125,182 = 125,182 : x
  2. Step 2: Convert to fraction form
    57,668/125,182 = 125,182/x
  3. Step 3: Cross multiply
    57,668x = 125,182 × 125,182
  4. Step 4: Simplify right side
    57,668x = 15,670,533,124
  5. Step 5: Solve for x
    x = 15,670,533,124/57,668
  6. Step 6: Final answer
    x = 271,737.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.