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Finding the Third Proportional to 69,717.94 and 151,027.31

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Solution

The third proportional to 69,717.94 and 151,027.31 is: 327,164.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,717.94 : 151,027.31 = 151,027.31 : x
  2. Step 2: Convert to fraction form
    69,717.94/151,027.31 = 151,027.31/x
  3. Step 3: Cross multiply
    69,717.94x = 151,027.31 × 151,027.31
  4. Step 4: Simplify right side
    69,717.94x = 22,809,249,120.97
  5. Step 5: Solve for x
    x = 22,809,249,120.97/69,717.94
  6. Step 6: Final answer
    x = 327,164.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.