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Finding the Third Proportional to 144,960.75 and 204,136.88

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Solution

The third proportional to 144,960.75 and 204,136.88 is: 287,469.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,960.75 : 204,136.88 = 204,136.88 : x
  2. Step 2: Convert to fraction form
    144,960.75/204,136.88 = 204,136.88/x
  3. Step 3: Cross multiply
    144,960.75x = 204,136.88 × 204,136.88
  4. Step 4: Simplify right side
    144,960.75x = 41,671,863,734.77
  5. Step 5: Solve for x
    x = 41,671,863,734.77/144,960.75
  6. Step 6: Final answer
    x = 287,469.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.