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Finding the Third Proportional to 96,124 and 143,802

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Solution

The third proportional to 96,124 and 143,802 is: 215,128.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,124 : 143,802 = 143,802 : x
  2. Step 2: Convert to fraction form
    96,124/143,802 = 143,802/x
  3. Step 3: Cross multiply
    96,124x = 143,802 × 143,802
  4. Step 4: Simplify right side
    96,124x = 20,679,015,204
  5. Step 5: Solve for x
    x = 20,679,015,204/96,124
  6. Step 6: Final answer
    x = 215,128.53

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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.