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Finding the Third Proportional to 76,757.63 and 166,627.13

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Solution

The third proportional to 76,757.63 and 166,627.13 is: 361,717.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,757.63 : 166,627.13 = 166,627.13 : x
  2. Step 2: Convert to fraction form
    76,757.63/166,627.13 = 166,627.13/x
  3. Step 3: Cross multiply
    76,757.63x = 166,627.13 × 166,627.13
  4. Step 4: Simplify right side
    76,757.63x = 27,764,598,785.77
  5. Step 5: Solve for x
    x = 27,764,598,785.77/76,757.63
  6. Step 6: Final answer
    x = 361,717.79

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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.