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Finding the Third Proportional to 47,340 and 100,446

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Solution

The third proportional to 47,340 and 100,446 is: 213,126.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,340 : 100,446 = 100,446 : x
  2. Step 2: Convert to fraction form
    47,340/100,446 = 100,446/x
  3. Step 3: Cross multiply
    47,340x = 100,446 × 100,446
  4. Step 4: Simplify right side
    47,340x = 10,089,398,916
  5. Step 5: Solve for x
    x = 10,089,398,916/47,340
  6. Step 6: Final answer
    x = 213,126.30

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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.