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Finding the Third Proportional to 47,946 and 100,947

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Solution

The third proportional to 47,946 and 100,947 is: 212,536.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,946 : 100,947 = 100,947 : x
  2. Step 2: Convert to fraction form
    47,946/100,947 = 100,947/x
  3. Step 3: Cross multiply
    47,946x = 100,947 × 100,947
  4. Step 4: Simplify right side
    47,946x = 10,190,296,809
  5. Step 5: Solve for x
    x = 10,190,296,809/47,946
  6. Step 6: Final answer
    x = 212,536.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.