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Finding the Third Proportional to 106,832 and 173,635

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Solution

The third proportional to 106,832 and 173,635 is: 282,210.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,832 : 173,635 = 173,635 : x
  2. Step 2: Convert to fraction form
    106,832/173,635 = 173,635/x
  3. Step 3: Cross multiply
    106,832x = 173,635 × 173,635
  4. Step 4: Simplify right side
    106,832x = 30,149,113,225
  5. Step 5: Solve for x
    x = 30,149,113,225/106,832
  6. Step 6: Final answer
    x = 282,210.51

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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.