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Finding the Third Proportional to 57,165 and 127,443

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Solution

The third proportional to 57,165 and 127,443 is: 284,119.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,165 : 127,443 = 127,443 : x
  2. Step 2: Convert to fraction form
    57,165/127,443 = 127,443/x
  3. Step 3: Cross multiply
    57,165x = 127,443 × 127,443
  4. Step 4: Simplify right side
    57,165x = 16,241,718,249
  5. Step 5: Solve for x
    x = 16,241,718,249/57,165
  6. Step 6: Final answer
    x = 284,119.97

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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.