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Finding the Third Proportional to 49,914 and 79,378

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Solution

The third proportional to 49,914 and 79,378 is: 126,234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,914 : 79,378 = 79,378 : x
  2. Step 2: Convert to fraction form
    49,914/79,378 = 79,378/x
  3. Step 3: Cross multiply
    49,914x = 79,378 × 79,378
  4. Step 4: Simplify right side
    49,914x = 6,300,866,884
  5. Step 5: Solve for x
    x = 6,300,866,884/49,914
  6. Step 6: Final answer
    x = 126,234.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.