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Finding the Third Proportional to 57,392 and 126,144

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Solution

The third proportional to 57,392 and 126,144 is: 277,256.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,392 : 126,144 = 126,144 : x
  2. Step 2: Convert to fraction form
    57,392/126,144 = 126,144/x
  3. Step 3: Cross multiply
    57,392x = 126,144 × 126,144
  4. Step 4: Simplify right side
    57,392x = 15,912,308,736
  5. Step 5: Solve for x
    x = 15,912,308,736/57,392
  6. Step 6: Final answer
    x = 277,256.56

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