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Finding the Third Proportional to 121,998 and 194,796

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Solution

The third proportional to 121,998 and 194,796 is: 311,033.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,998 : 194,796 = 194,796 : x
  2. Step 2: Convert to fraction form
    121,998/194,796 = 194,796/x
  3. Step 3: Cross multiply
    121,998x = 194,796 × 194,796
  4. Step 4: Simplify right side
    121,998x = 37,945,481,616
  5. Step 5: Solve for x
    x = 37,945,481,616/121,998
  6. Step 6: Final answer
    x = 311,033.64

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.