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Finding the Third Proportional to 57,380 and 126,360

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Solution

The third proportional to 57,380 and 126,360 is: 278,265.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,380 : 126,360 = 126,360 : x
  2. Step 2: Convert to fraction form
    57,380/126,360 = 126,360/x
  3. Step 3: Cross multiply
    57,380x = 126,360 × 126,360
  4. Step 4: Simplify right side
    57,380x = 15,966,849,600
  5. Step 5: Solve for x
    x = 15,966,849,600/57,380
  6. Step 6: Final answer
    x = 278,265.07

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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.