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Finding the Third Proportional to 96,100 and 143,766

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Solution

The third proportional to 96,100 and 143,766 is: 215,074.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,100 : 143,766 = 143,766 : x
  2. Step 2: Convert to fraction form
    96,100/143,766 = 143,766/x
  3. Step 3: Cross multiply
    96,100x = 143,766 × 143,766
  4. Step 4: Simplify right side
    96,100x = 20,668,662,756
  5. Step 5: Solve for x
    x = 20,668,662,756/96,100
  6. Step 6: Final answer
    x = 215,074.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.