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Finding the Third Proportional to 126,763 and 194,861

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Solution

The third proportional to 126,763 and 194,861 is: 299,541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,763 : 194,861 = 194,861 : x
  2. Step 2: Convert to fraction form
    126,763/194,861 = 194,861/x
  3. Step 3: Cross multiply
    126,763x = 194,861 × 194,861
  4. Step 4: Simplify right side
    126,763x = 37,970,809,321
  5. Step 5: Solve for x
    x = 37,970,809,321/126,763
  6. Step 6: Final answer
    x = 299,541.74

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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.