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Finding the Third Proportional to 67,057.88 and 166,611.94

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Solution

The third proportional to 67,057.88 and 166,611.94 is: 413,963.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,057.88 : 166,611.94 = 166,611.94 : x
  2. Step 2: Convert to fraction form
    67,057.88/166,611.94 = 166,611.94/x
  3. Step 3: Cross multiply
    67,057.88x = 166,611.94 × 166,611.94
  4. Step 4: Simplify right side
    67,057.88x = 27,759,537,717.50
  5. Step 5: Solve for x
    x = 27,759,537,717.50/67,057.88
  6. Step 6: Final answer
    x = 413,963.87

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.