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Finding the Third Proportional to 47,042 and 100,645

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Solution

The third proportional to 47,042 and 100,645 is: 215,327.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,042 : 100,645 = 100,645 : x
  2. Step 2: Convert to fraction form
    47,042/100,645 = 100,645/x
  3. Step 3: Cross multiply
    47,042x = 100,645 × 100,645
  4. Step 4: Simplify right side
    47,042x = 10,129,416,025
  5. Step 5: Solve for x
    x = 10,129,416,025/47,042
  6. Step 6: Final answer
    x = 215,327.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.