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Finding the Third Proportional to 100,378 and 133,821

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Solution

The third proportional to 100,378 and 133,821 is: 178,406.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,378 : 133,821 = 133,821 : x
  2. Step 2: Convert to fraction form
    100,378/133,821 = 133,821/x
  3. Step 3: Cross multiply
    100,378x = 133,821 × 133,821
  4. Step 4: Simplify right side
    100,378x = 17,908,060,041
  5. Step 5: Solve for x
    x = 17,908,060,041/100,378
  6. Step 6: Final answer
    x = 178,406.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.