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Finding the Third Proportional to 105,378 and 187,367

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Solution

The third proportional to 105,378 and 187,367 is: 333,147.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,378 : 187,367 = 187,367 : x
  2. Step 2: Convert to fraction form
    105,378/187,367 = 187,367/x
  3. Step 3: Cross multiply
    105,378x = 187,367 × 187,367
  4. Step 4: Simplify right side
    105,378x = 35,106,392,689
  5. Step 5: Solve for x
    x = 35,106,392,689/105,378
  6. Step 6: Final answer
    x = 333,147.27

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.