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Finding the Third Proportional to 57,320 and 126,264

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Solution

The third proportional to 57,320 and 126,264 is: 278,133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,320 : 126,264 = 126,264 : x
  2. Step 2: Convert to fraction form
    57,320/126,264 = 126,264/x
  3. Step 3: Cross multiply
    57,320x = 126,264 × 126,264
  4. Step 4: Simplify right side
    57,320x = 15,942,597,696
  5. Step 5: Solve for x
    x = 15,942,597,696/57,320
  6. Step 6: Final answer
    x = 278,133.25

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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.