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Finding the Third Proportional to 100,181 and 140,065

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Solution

The third proportional to 100,181 and 140,065 is: 195,827.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,181 : 140,065 = 140,065 : x
  2. Step 2: Convert to fraction form
    100,181/140,065 = 140,065/x
  3. Step 3: Cross multiply
    100,181x = 140,065 × 140,065
  4. Step 4: Simplify right side
    100,181x = 19,618,204,225
  5. Step 5: Solve for x
    x = 19,618,204,225/100,181
  6. Step 6: Final answer
    x = 195,827.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.