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Finding the Third Proportional to 127,028 and 274,144

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Solution

The third proportional to 127,028 and 274,144 is: 591,640.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,028 : 274,144 = 274,144 : x
  2. Step 2: Convert to fraction form
    127,028/274,144 = 274,144/x
  3. Step 3: Cross multiply
    127,028x = 274,144 × 274,144
  4. Step 4: Simplify right side
    127,028x = 75,154,932,736
  5. Step 5: Solve for x
    x = 75,154,932,736/127,028
  6. Step 6: Final answer
    x = 591,640.68

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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.