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Finding the Third Proportional to 57,423 and 126,162

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Solution

The third proportional to 57,423 and 126,162 is: 277,185.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,423 : 126,162 = 126,162 : x
  2. Step 2: Convert to fraction form
    57,423/126,162 = 126,162/x
  3. Step 3: Cross multiply
    57,423x = 126,162 × 126,162
  4. Step 4: Simplify right side
    57,423x = 15,916,850,244
  5. Step 5: Solve for x
    x = 15,916,850,244/57,423
  6. Step 6: Final answer
    x = 277,185.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.