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Finding the Third Proportional to 102,150 and 143,016

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Solution

The third proportional to 102,150 and 143,016 is: 200,230.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,150 : 143,016 = 143,016 : x
  2. Step 2: Convert to fraction form
    102,150/143,016 = 143,016/x
  3. Step 3: Cross multiply
    102,150x = 143,016 × 143,016
  4. Step 4: Simplify right side
    102,150x = 20,453,576,256
  5. Step 5: Solve for x
    x = 20,453,576,256/102,150
  6. Step 6: Final answer
    x = 200,230.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.