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Finding the Third Proportional to 102,996.75 and 159,161.63

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Solution

The third proportional to 102,996.75 and 159,161.63 is: 245,953.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,996.75 : 159,161.63 = 159,161.63 : x
  2. Step 2: Convert to fraction form
    102,996.75/159,161.63 = 159,161.63/x
  3. Step 3: Cross multiply
    102,996.75x = 159,161.63 × 159,161.63
  4. Step 4: Simplify right side
    102,996.75x = 25,332,422,872.64
  5. Step 5: Solve for x
    x = 25,332,422,872.64/102,996.75
  6. Step 6: Final answer
    x = 245,953.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.