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Finding the Third Proportional to 127,711.13 and 273,759.75

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Solution

The third proportional to 127,711.13 and 273,759.75 is: 586,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,711.13 : 273,759.75 = 273,759.75 : x
  2. Step 2: Convert to fraction form
    127,711.13/273,759.75 = 273,759.75/x
  3. Step 3: Cross multiply
    127,711.13x = 273,759.75 × 273,759.75
  4. Step 4: Simplify right side
    127,711.13x = 74,944,400,720.06
  5. Step 5: Solve for x
    x = 74,944,400,720.06/127,711.13
  6. Step 6: Final answer
    x = 586,827.50

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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.