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Finding the Third Proportional to 127,716.75 and 273,783.38

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Solution

The third proportional to 127,716.75 and 273,783.38 is: 586,902.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,716.75 : 273,783.38 = 273,783.38 : x
  2. Step 2: Convert to fraction form
    127,716.75/273,783.38 = 273,783.38/x
  3. Step 3: Cross multiply
    127,716.75x = 273,783.38 × 273,783.38
  4. Step 4: Simplify right side
    127,716.75x = 74,957,336,426.39
  5. Step 5: Solve for x
    x = 74,957,336,426.39/127,716.75
  6. Step 6: Final answer
    x = 586,902.94

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Why These Related Problems?

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