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Finding the Third Proportional to 66,084 and 144,204

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Solution

The third proportional to 66,084 and 144,204 is: 314,672.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,084 : 144,204 = 144,204 : x
  2. Step 2: Convert to fraction form
    66,084/144,204 = 144,204/x
  3. Step 3: Cross multiply
    66,084x = 144,204 × 144,204
  4. Step 4: Simplify right side
    66,084x = 20,794,793,616
  5. Step 5: Solve for x
    x = 20,794,793,616/66,084
  6. Step 6: Final answer
    x = 314,672.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.