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Finding the Third Proportional to 134,496 and 188,493

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Solution

The third proportional to 134,496 and 188,493 is: 264,168.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,496 : 188,493 = 188,493 : x
  2. Step 2: Convert to fraction form
    134,496/188,493 = 188,493/x
  3. Step 3: Cross multiply
    134,496x = 188,493 × 188,493
  4. Step 4: Simplify right side
    134,496x = 35,529,611,049
  5. Step 5: Solve for x
    x = 35,529,611,049/134,496
  6. Step 6: Final answer
    x = 264,168.53

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.