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Finding the Third Proportional to 57,132 and 127,512

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Solution

The third proportional to 57,132 and 127,512 is: 284,592

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,132 : 127,512 = 127,512 : x
  2. Step 2: Convert to fraction form
    57,132/127,512 = 127,512/x
  3. Step 3: Cross multiply
    57,132x = 127,512 × 127,512
  4. Step 4: Simplify right side
    57,132x = 16,259,310,144
  5. Step 5: Solve for x
    x = 16,259,310,144/57,132
  6. Step 6: Final answer
    x = 284,592

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.