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Finding the Third Proportional to 102,211.75 and 143,229.75

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Solution

The third proportional to 102,211.75 and 143,229.75 is: 200,708.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,211.75 : 143,229.75 = 143,229.75 : x
  2. Step 2: Convert to fraction form
    102,211.75/143,229.75 = 143,229.75/x
  3. Step 3: Cross multiply
    102,211.75x = 143,229.75 × 143,229.75
  4. Step 4: Simplify right side
    102,211.75x = 20,514,761,285.06
  5. Step 5: Solve for x
    x = 20,514,761,285.06/102,211.75
  6. Step 6: Final answer
    x = 200,708.44

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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.