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Finding the Third Proportional to 57,462 and 126,444

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Solution

The third proportional to 57,462 and 126,444 is: 278,237.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,462 : 126,444 = 126,444 : x
  2. Step 2: Convert to fraction form
    57,462/126,444 = 126,444/x
  3. Step 3: Cross multiply
    57,462x = 126,444 × 126,444
  4. Step 4: Simplify right side
    57,462x = 15,988,085,136
  5. Step 5: Solve for x
    x = 15,988,085,136/57,462
  6. Step 6: Final answer
    x = 278,237.53

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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.