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Finding the Third Proportional to 57,061 and 127,235

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Solution

The third proportional to 57,061 and 127,235 is: 283,709.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,061 : 127,235 = 127,235 : x
  2. Step 2: Convert to fraction form
    57,061/127,235 = 127,235/x
  3. Step 3: Cross multiply
    57,061x = 127,235 × 127,235
  4. Step 4: Simplify right side
    57,061x = 16,188,745,225
  5. Step 5: Solve for x
    x = 16,188,745,225/57,061
  6. Step 6: Final answer
    x = 283,709.46

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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.