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Finding the Third Proportional to 112,324 and 173,885

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Solution

The third proportional to 112,324 and 173,885 is: 269,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,324 : 173,885 = 173,885 : x
  2. Step 2: Convert to fraction form
    112,324/173,885 = 173,885/x
  3. Step 3: Cross multiply
    112,324x = 173,885 × 173,885
  4. Step 4: Simplify right side
    112,324x = 30,235,993,225
  5. Step 5: Solve for x
    x = 30,235,993,225/112,324
  6. Step 6: Final answer
    x = 269,185.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.