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Finding the Third Proportional to 34,450 and 70,361

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Solution

The third proportional to 34,450 and 70,361 is: 143,705.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,450 : 70,361 = 70,361 : x
  2. Step 2: Convert to fraction form
    34,450/70,361 = 70,361/x
  3. Step 3: Cross multiply
    34,450x = 70,361 × 70,361
  4. Step 4: Simplify right side
    34,450x = 4,950,670,321
  5. Step 5: Solve for x
    x = 4,950,670,321/34,450
  6. Step 6: Final answer
    x = 143,705.96

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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.