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Finding the Third Proportional to 65,270 and 143,149

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Solution

The third proportional to 65,270 and 143,149 is: 313,951.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,270 : 143,149 = 143,149 : x
  2. Step 2: Convert to fraction form
    65,270/143,149 = 143,149/x
  3. Step 3: Cross multiply
    65,270x = 143,149 × 143,149
  4. Step 4: Simplify right side
    65,270x = 20,491,636,201
  5. Step 5: Solve for x
    x = 20,491,636,201/65,270
  6. Step 6: Final answer
    x = 313,951.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.