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Finding the Third Proportional to 47,741 and 100,282

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Solution

The third proportional to 47,741 and 100,282 is: 210,646.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,741 : 100,282 = 100,282 : x
  2. Step 2: Convert to fraction form
    47,741/100,282 = 100,282/x
  3. Step 3: Cross multiply
    47,741x = 100,282 × 100,282
  4. Step 4: Simplify right side
    47,741x = 10,056,479,524
  5. Step 5: Solve for x
    x = 10,056,479,524/47,741
  6. Step 6: Final answer
    x = 210,646.60

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.