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Finding the Third Proportional to 112,168 and 173,652

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Solution

The third proportional to 112,168 and 173,652 is: 268,837.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,168 : 173,652 = 173,652 : x
  2. Step 2: Convert to fraction form
    112,168/173,652 = 173,652/x
  3. Step 3: Cross multiply
    112,168x = 173,652 × 173,652
  4. Step 4: Simplify right side
    112,168x = 30,155,017,104
  5. Step 5: Solve for x
    x = 30,155,017,104/112,168
  6. Step 6: Final answer
    x = 268,837.97

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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.