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Finding the Third Proportional to 100,285 and 141,103

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Solution

The third proportional to 100,285 and 141,103 is: 198,534.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,285 : 141,103 = 141,103 : x
  2. Step 2: Convert to fraction form
    100,285/141,103 = 141,103/x
  3. Step 3: Cross multiply
    100,285x = 141,103 × 141,103
  4. Step 4: Simplify right side
    100,285x = 19,910,056,609
  5. Step 5: Solve for x
    x = 19,910,056,609/100,285
  6. Step 6: Final answer
    x = 198,534.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.