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Finding the Third Proportional to 70,774 and 166,834

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Solution

The third proportional to 70,774 and 166,834 is: 393,274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,774 : 166,834 = 166,834 : x
  2. Step 2: Convert to fraction form
    70,774/166,834 = 166,834/x
  3. Step 3: Cross multiply
    70,774x = 166,834 × 166,834
  4. Step 4: Simplify right side
    70,774x = 27,833,583,556
  5. Step 5: Solve for x
    x = 27,833,583,556/70,774
  6. Step 6: Final answer
    x = 393,274.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.