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Finding the Third Proportional to 140,107 and 192,664

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Solution

The third proportional to 140,107 and 192,664 is: 264,936.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,107 : 192,664 = 192,664 : x
  2. Step 2: Convert to fraction form
    140,107/192,664 = 192,664/x
  3. Step 3: Cross multiply
    140,107x = 192,664 × 192,664
  4. Step 4: Simplify right side
    140,107x = 37,119,416,896
  5. Step 5: Solve for x
    x = 37,119,416,896/140,107
  6. Step 6: Final answer
    x = 264,936.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.