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Finding the Third Proportional to 131,364 and 192,386

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Solution

The third proportional to 131,364 and 192,386 is: 281,754.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,364 : 192,386 = 192,386 : x
  2. Step 2: Convert to fraction form
    131,364/192,386 = 192,386/x
  3. Step 3: Cross multiply
    131,364x = 192,386 × 192,386
  4. Step 4: Simplify right side
    131,364x = 37,012,372,996
  5. Step 5: Solve for x
    x = 37,012,372,996/131,364
  6. Step 6: Final answer
    x = 281,754.31

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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.