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Finding the Third Proportional to 127,129 and 274,250

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Solution

The third proportional to 127,129 and 274,250 is: 591,627.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,129 : 274,250 = 274,250 : x
  2. Step 2: Convert to fraction form
    127,129/274,250 = 274,250/x
  3. Step 3: Cross multiply
    127,129x = 274,250 × 274,250
  4. Step 4: Simplify right side
    127,129x = 75,213,062,500
  5. Step 5: Solve for x
    x = 75,213,062,500/127,129
  6. Step 6: Final answer
    x = 591,627.89

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