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Finding the Third Proportional to 126,751 and 194,897

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Solution

The third proportional to 126,751 and 194,897 is: 299,680.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,751 : 194,897 = 194,897 : x
  2. Step 2: Convert to fraction form
    126,751/194,897 = 194,897/x
  3. Step 3: Cross multiply
    126,751x = 194,897 × 194,897
  4. Step 4: Simplify right side
    126,751x = 37,984,840,609
  5. Step 5: Solve for x
    x = 37,984,840,609/126,751
  6. Step 6: Final answer
    x = 299,680.80

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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.