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Finding the Third Proportional to 57,966 and 127,000

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Solution

The third proportional to 57,966 and 127,000 is: 278,249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,966 : 127,000 = 127,000 : x
  2. Step 2: Convert to fraction form
    57,966/127,000 = 127,000/x
  3. Step 3: Cross multiply
    57,966x = 127,000 × 127,000
  4. Step 4: Simplify right side
    57,966x = 16,129,000,000
  5. Step 5: Solve for x
    x = 16,129,000,000/57,966
  6. Step 6: Final answer
    x = 278,249.32

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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.