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Finding the Third Proportional to 126,768 and 194,869

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Solution

The third proportional to 126,768 and 194,869 is: 299,554.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,768 : 194,869 = 194,869 : x
  2. Step 2: Convert to fraction form
    126,768/194,869 = 194,869/x
  3. Step 3: Cross multiply
    126,768x = 194,869 × 194,869
  4. Step 4: Simplify right side
    126,768x = 37,973,927,161
  5. Step 5: Solve for x
    x = 37,973,927,161/126,768
  6. Step 6: Final answer
    x = 299,554.52

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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.