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Finding the Third Proportional to 49,479 and 100,686

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Solution

The third proportional to 49,479 and 100,686 is: 204,888.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,479 : 100,686 = 100,686 : x
  2. Step 2: Convert to fraction form
    49,479/100,686 = 100,686/x
  3. Step 3: Cross multiply
    49,479x = 100,686 × 100,686
  4. Step 4: Simplify right side
    49,479x = 10,137,670,596
  5. Step 5: Solve for x
    x = 10,137,670,596/49,479
  6. Step 6: Final answer
    x = 204,888.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.