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Finding the Third Proportional to 76,309.59 and 165,753.84

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Solution

The third proportional to 76,309.59 and 165,753.84 is: 360,037.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,309.59 : 165,753.84 = 165,753.84 : x
  2. Step 2: Convert to fraction form
    76,309.59/165,753.84 = 165,753.84/x
  3. Step 3: Cross multiply
    76,309.59x = 165,753.84 × 165,753.84
  4. Step 4: Simplify right side
    76,309.59x = 27,474,336,717.90
  5. Step 5: Solve for x
    x = 27,474,336,717.90/76,309.59
  6. Step 6: Final answer
    x = 360,037.78

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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.