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Finding the Third Proportional to 112,992 and 154,936

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Solution

The third proportional to 112,992 and 154,936 is: 212,450.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,992 : 154,936 = 154,936 : x
  2. Step 2: Convert to fraction form
    112,992/154,936 = 154,936/x
  3. Step 3: Cross multiply
    112,992x = 154,936 × 154,936
  4. Step 4: Simplify right side
    112,992x = 24,005,164,096
  5. Step 5: Solve for x
    x = 24,005,164,096/112,992
  6. Step 6: Final answer
    x = 212,450.12

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.