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Finding the Third Proportional to 71,947 and 146,749

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Solution

The third proportional to 71,947 and 146,749 is: 299,321.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,947 : 146,749 = 146,749 : x
  2. Step 2: Convert to fraction form
    71,947/146,749 = 146,749/x
  3. Step 3: Cross multiply
    71,947x = 146,749 × 146,749
  4. Step 4: Simplify right side
    71,947x = 21,535,269,001
  5. Step 5: Solve for x
    x = 21,535,269,001/71,947
  6. Step 6: Final answer
    x = 299,321.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.