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Finding the Third Proportional to 115,450 and 173,512

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Solution

The third proportional to 115,450 and 173,512 is: 260,774.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,450 : 173,512 = 173,512 : x
  2. Step 2: Convert to fraction form
    115,450/173,512 = 173,512/x
  3. Step 3: Cross multiply
    115,450x = 173,512 × 173,512
  4. Step 4: Simplify right side
    115,450x = 30,106,414,144
  5. Step 5: Solve for x
    x = 30,106,414,144/115,450
  6. Step 6: Final answer
    x = 260,774.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.