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Finding the Third Proportional to 66,124 and 156,067

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Solution

The third proportional to 66,124 and 156,067 is: 368,352.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,124 : 156,067 = 156,067 : x
  2. Step 2: Convert to fraction form
    66,124/156,067 = 156,067/x
  3. Step 3: Cross multiply
    66,124x = 156,067 × 156,067
  4. Step 4: Simplify right side
    66,124x = 24,356,908,489
  5. Step 5: Solve for x
    x = 24,356,908,489/66,124
  6. Step 6: Final answer
    x = 368,352.01

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.