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Finding the Third Proportional to 75,660.75 and 166,014.38

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Solution

The third proportional to 75,660.75 and 166,014.38 is: 364,267.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,660.75 : 166,014.38 = 166,014.38 : x
  2. Step 2: Convert to fraction form
    75,660.75/166,014.38 = 166,014.38/x
  3. Step 3: Cross multiply
    75,660.75x = 166,014.38 × 166,014.38
  4. Step 4: Simplify right side
    75,660.75x = 27,560,772,706.64
  5. Step 5: Solve for x
    x = 27,560,772,706.64/75,660.75
  6. Step 6: Final answer
    x = 364,267.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.