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Finding the Third Proportional to 127,584.75 and 271,296.75

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Solution

The third proportional to 127,584.75 and 271,296.75 is: 576,886.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,584.75 : 271,296.75 = 271,296.75 : x
  2. Step 2: Convert to fraction form
    127,584.75/271,296.75 = 271,296.75/x
  3. Step 3: Cross multiply
    127,584.75x = 271,296.75 × 271,296.75
  4. Step 4: Simplify right side
    127,584.75x = 73,601,926,560.56
  5. Step 5: Solve for x
    x = 73,601,926,560.56/127,584.75
  6. Step 6: Final answer
    x = 576,886.55

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.