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Finding the Third Proportional to 126,717.75 and 274,347.75

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Solution

The third proportional to 126,717.75 and 274,347.75 is: 593,971.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,717.75 : 274,347.75 = 274,347.75 : x
  2. Step 2: Convert to fraction form
    126,717.75/274,347.75 = 274,347.75/x
  3. Step 3: Cross multiply
    126,717.75x = 274,347.75 × 274,347.75
  4. Step 4: Simplify right side
    126,717.75x = 75,266,687,930.06
  5. Step 5: Solve for x
    x = 75,266,687,930.06/126,717.75
  6. Step 6: Final answer
    x = 593,971.15

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.