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Finding the Third Proportional to 112,168 and 247,096

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Solution

The third proportional to 112,168 and 247,096 is: 544,330.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,168 : 247,096 = 247,096 : x
  2. Step 2: Convert to fraction form
    112,168/247,096 = 247,096/x
  3. Step 3: Cross multiply
    112,168x = 247,096 × 247,096
  4. Step 4: Simplify right side
    112,168x = 61,056,433,216
  5. Step 5: Solve for x
    x = 61,056,433,216/112,168
  6. Step 6: Final answer
    x = 544,330.23

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.