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Finding the Third Proportional to 131,362 and 192,383

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Solution

The third proportional to 131,362 and 192,383 is: 281,749.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,362 : 192,383 = 192,383 : x
  2. Step 2: Convert to fraction form
    131,362/192,383 = 192,383/x
  3. Step 3: Cross multiply
    131,362x = 192,383 × 192,383
  4. Step 4: Simplify right side
    131,362x = 37,011,218,689
  5. Step 5: Solve for x
    x = 37,011,218,689/131,362
  6. Step 6: Final answer
    x = 281,749.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.