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Finding the Third Proportional to 66,204 and 156,148

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Solution

The third proportional to 66,204 and 156,148 is: 368,288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,204 : 156,148 = 156,148 : x
  2. Step 2: Convert to fraction form
    66,204/156,148 = 156,148/x
  3. Step 3: Cross multiply
    66,204x = 156,148 × 156,148
  4. Step 4: Simplify right side
    66,204x = 24,382,197,904
  5. Step 5: Solve for x
    x = 24,382,197,904/66,204
  6. Step 6: Final answer
    x = 368,288.89

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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.