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Finding the Third Proportional to 100,006 and 140,672

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Solution

The third proportional to 100,006 and 140,672 is: 197,874.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,006 : 140,672 = 140,672 : x
  2. Step 2: Convert to fraction form
    100,006/140,672 = 140,672/x
  3. Step 3: Cross multiply
    100,006x = 140,672 × 140,672
  4. Step 4: Simplify right side
    100,006x = 19,788,611,584
  5. Step 5: Solve for x
    x = 19,788,611,584/100,006
  6. Step 6: Final answer
    x = 197,874.24

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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.