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Finding the Third Proportional to 45,686 and 100,282

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Solution

The third proportional to 45,686 and 100,282 is: 220,121.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,686 : 100,282 = 100,282 : x
  2. Step 2: Convert to fraction form
    45,686/100,282 = 100,282/x
  3. Step 3: Cross multiply
    45,686x = 100,282 × 100,282
  4. Step 4: Simplify right side
    45,686x = 10,056,479,524
  5. Step 5: Solve for x
    x = 10,056,479,524/45,686
  6. Step 6: Final answer
    x = 220,121.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.