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Finding the Third Proportional to 71,898 and 154,204

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Solution

The third proportional to 71,898 and 154,204 is: 330,730.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,898 : 154,204 = 154,204 : x
  2. Step 2: Convert to fraction form
    71,898/154,204 = 154,204/x
  3. Step 3: Cross multiply
    71,898x = 154,204 × 154,204
  4. Step 4: Simplify right side
    71,898x = 23,778,873,616
  5. Step 5: Solve for x
    x = 23,778,873,616/71,898
  6. Step 6: Final answer
    x = 330,730.67

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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.