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Finding the Third Proportional to 47,451 and 100,755

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Solution

The third proportional to 47,451 and 100,755 is: 213,937.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,451 : 100,755 = 100,755 : x
  2. Step 2: Convert to fraction form
    47,451/100,755 = 100,755/x
  3. Step 3: Cross multiply
    47,451x = 100,755 × 100,755
  4. Step 4: Simplify right side
    47,451x = 10,151,570,025
  5. Step 5: Solve for x
    x = 10,151,570,025/47,451
  6. Step 6: Final answer
    x = 213,937.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.