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Finding the Third Proportional to 73,917.56 and 165,057.75

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Solution

The third proportional to 73,917.56 and 165,057.75 is: 368,573.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,917.56 : 165,057.75 = 165,057.75 : x
  2. Step 2: Convert to fraction form
    73,917.56/165,057.75 = 165,057.75/x
  3. Step 3: Cross multiply
    73,917.56x = 165,057.75 × 165,057.75
  4. Step 4: Simplify right side
    73,917.56x = 27,244,060,835.06
  5. Step 5: Solve for x
    x = 27,244,060,835.06/73,917.56
  6. Step 6: Final answer
    x = 368,573.58

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.