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Finding the Third Proportional to 126,927 and 194,454

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Solution

The third proportional to 126,927 and 194,454 is: 297,906.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,927 : 194,454 = 194,454 : x
  2. Step 2: Convert to fraction form
    126,927/194,454 = 194,454/x
  3. Step 3: Cross multiply
    126,927x = 194,454 × 194,454
  4. Step 4: Simplify right side
    126,927x = 37,812,358,116
  5. Step 5: Solve for x
    x = 37,812,358,116/126,927
  6. Step 6: Final answer
    x = 297,906.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.