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Finding the Third Proportional to 127,051.03 and 271,939.78

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Solution

The third proportional to 127,051.03 and 271,939.78 is: 582,059.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,051.03 : 271,939.78 = 271,939.78 : x
  2. Step 2: Convert to fraction form
    127,051.03/271,939.78 = 271,939.78/x
  3. Step 3: Cross multiply
    127,051.03x = 271,939.78 × 271,939.78
  4. Step 4: Simplify right side
    127,051.03x = 73,951,244,626.30
  5. Step 5: Solve for x
    x = 73,951,244,626.30/127,051.03
  6. Step 6: Final answer
    x = 582,059.38

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.