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Finding the Third Proportional to 130,917.75 and 166,608.75

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Solution

The third proportional to 130,917.75 and 166,608.75 is: 212,029.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,917.75 : 166,608.75 = 166,608.75 : x
  2. Step 2: Convert to fraction form
    130,917.75/166,608.75 = 166,608.75/x
  3. Step 3: Cross multiply
    130,917.75x = 166,608.75 × 166,608.75
  4. Step 4: Simplify right side
    130,917.75x = 27,758,475,576.56
  5. Step 5: Solve for x
    x = 27,758,475,576.56/130,917.75
  6. Step 6: Final answer
    x = 212,029.89

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.