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Finding the Third Proportional to 57,060 and 127,233

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Solution

The third proportional to 57,060 and 127,233 is: 283,705.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,060 : 127,233 = 127,233 : x
  2. Step 2: Convert to fraction form
    57,060/127,233 = 127,233/x
  3. Step 3: Cross multiply
    57,060x = 127,233 × 127,233
  4. Step 4: Simplify right side
    57,060x = 16,188,236,289
  5. Step 5: Solve for x
    x = 16,188,236,289/57,060
  6. Step 6: Final answer
    x = 283,705.51

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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.