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Finding the Third Proportional to 140,834 and 193,107

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Solution

The third proportional to 140,834 and 193,107 is: 264,782.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,834 : 193,107 = 193,107 : x
  2. Step 2: Convert to fraction form
    140,834/193,107 = 193,107/x
  3. Step 3: Cross multiply
    140,834x = 193,107 × 193,107
  4. Step 4: Simplify right side
    140,834x = 37,290,313,449
  5. Step 5: Solve for x
    x = 37,290,313,449/140,834
  6. Step 6: Final answer
    x = 264,782.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.