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Finding the Third Proportional to 57,666 and 127,857

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Solution

The third proportional to 57,666 and 127,857 is: 283,484.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,666 : 127,857 = 127,857 : x
  2. Step 2: Convert to fraction form
    57,666/127,857 = 127,857/x
  3. Step 3: Cross multiply
    57,666x = 127,857 × 127,857
  4. Step 4: Simplify right side
    57,666x = 16,347,412,449
  5. Step 5: Solve for x
    x = 16,347,412,449/57,666
  6. Step 6: Final answer
    x = 283,484.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.