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Finding the Third Proportional to 57,108 and 126,460

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Solution

The third proportional to 57,108 and 126,460 is: 280,033.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,108 : 126,460 = 126,460 : x
  2. Step 2: Convert to fraction form
    57,108/126,460 = 126,460/x
  3. Step 3: Cross multiply
    57,108x = 126,460 × 126,460
  4. Step 4: Simplify right side
    57,108x = 15,992,131,600
  5. Step 5: Solve for x
    x = 15,992,131,600/57,108
  6. Step 6: Final answer
    x = 280,033.12

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.