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Finding the Third Proportional to 126,819 and 194,997

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Solution

The third proportional to 126,819 and 194,997 is: 299,827.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,819 : 194,997 = 194,997 : x
  2. Step 2: Convert to fraction form
    126,819/194,997 = 194,997/x
  3. Step 3: Cross multiply
    126,819x = 194,997 × 194,997
  4. Step 4: Simplify right side
    126,819x = 38,023,830,009
  5. Step 5: Solve for x
    x = 38,023,830,009/126,819
  6. Step 6: Final answer
    x = 299,827.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.