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Finding the Third Proportional to 71,739 and 146,394

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Solution

The third proportional to 71,739 and 146,394 is: 298,738.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,739 : 146,394 = 146,394 : x
  2. Step 2: Convert to fraction form
    71,739/146,394 = 146,394/x
  3. Step 3: Cross multiply
    71,739x = 146,394 × 146,394
  4. Step 4: Simplify right side
    71,739x = 21,431,203,236
  5. Step 5: Solve for x
    x = 21,431,203,236/71,739
  6. Step 6: Final answer
    x = 298,738.53

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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.