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Finding the Third Proportional to 127,107 and 274,203

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Solution

The third proportional to 127,107 and 274,203 is: 591,527.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,107 : 274,203 = 274,203 : x
  2. Step 2: Convert to fraction form
    127,107/274,203 = 274,203/x
  3. Step 3: Cross multiply
    127,107x = 274,203 × 274,203
  4. Step 4: Simplify right side
    127,107x = 75,187,285,209
  5. Step 5: Solve for x
    x = 75,187,285,209/127,107
  6. Step 6: Final answer
    x = 591,527.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.