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Finding the Third Proportional to 140,112 and 192,670

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Solution

The third proportional to 140,112 and 192,670 is: 264,943.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,112 : 192,670 = 192,670 : x
  2. Step 2: Convert to fraction form
    140,112/192,670 = 192,670/x
  3. Step 3: Cross multiply
    140,112x = 192,670 × 192,670
  4. Step 4: Simplify right side
    140,112x = 37,121,728,900
  5. Step 5: Solve for x
    x = 37,121,728,900/140,112
  6. Step 6: Final answer
    x = 264,943.25

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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.