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Finding the Third Proportional to 106,828 and 173,629

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Solution

The third proportional to 106,828 and 173,629 is: 282,201.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,828 : 173,629 = 173,629 : x
  2. Step 2: Convert to fraction form
    106,828/173,629 = 173,629/x
  3. Step 3: Cross multiply
    106,828x = 173,629 × 173,629
  4. Step 4: Simplify right side
    106,828x = 30,147,029,641
  5. Step 5: Solve for x
    x = 30,147,029,641/106,828
  6. Step 6: Final answer
    x = 282,201.57

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.