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Finding the Third Proportional to 43,569 and 94,450

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Solution

The third proportional to 43,569 and 94,450 is: 204,751.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,569 : 94,450 = 94,450 : x
  2. Step 2: Convert to fraction form
    43,569/94,450 = 94,450/x
  3. Step 3: Cross multiply
    43,569x = 94,450 × 94,450
  4. Step 4: Simplify right side
    43,569x = 8,920,802,500
  5. Step 5: Solve for x
    x = 8,920,802,500/43,569
  6. Step 6: Final answer
    x = 204,751.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.