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Finding the Third Proportional to 123,937 and 196,975

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Solution

The third proportional to 123,937 and 196,975 is: 313,055.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,937 : 196,975 = 196,975 : x
  2. Step 2: Convert to fraction form
    123,937/196,975 = 196,975/x
  3. Step 3: Cross multiply
    123,937x = 196,975 × 196,975
  4. Step 4: Simplify right side
    123,937x = 38,799,150,625
  5. Step 5: Solve for x
    x = 38,799,150,625/123,937
  6. Step 6: Final answer
    x = 313,055.43

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.