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Finding the Third Proportional to 57,380 and 125,836

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Solution

The third proportional to 57,380 and 125,836 is: 275,961.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,380 : 125,836 = 125,836 : x
  2. Step 2: Convert to fraction form
    57,380/125,836 = 125,836/x
  3. Step 3: Cross multiply
    57,380x = 125,836 × 125,836
  4. Step 4: Simplify right side
    57,380x = 15,834,698,896
  5. Step 5: Solve for x
    x = 15,834,698,896/57,380
  6. Step 6: Final answer
    x = 275,961.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.