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Finding the Third Proportional to 96,282 and 144,843

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Solution

The third proportional to 96,282 and 144,843 is: 217,896.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,282 : 144,843 = 144,843 : x
  2. Step 2: Convert to fraction form
    96,282/144,843 = 144,843/x
  3. Step 3: Cross multiply
    96,282x = 144,843 × 144,843
  4. Step 4: Simplify right side
    96,282x = 20,979,494,649
  5. Step 5: Solve for x
    x = 20,979,494,649/96,282
  6. Step 6: Final answer
    x = 217,896.33

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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.