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Finding the Third Proportional to 127,635.75 and 274,757.06

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Solution

The third proportional to 127,635.75 and 274,757.06 is: 591,460.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,635.75 : 274,757.06 = 274,757.06 : x
  2. Step 2: Convert to fraction form
    127,635.75/274,757.06 = 274,757.06/x
  3. Step 3: Cross multiply
    127,635.75x = 274,757.06 × 274,757.06
  4. Step 4: Simplify right side
    127,635.75x = 75,491,443,393.63
  5. Step 5: Solve for x
    x = 75,491,443,393.63/127,635.75
  6. Step 6: Final answer
    x = 591,460.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.