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Finding the Third Proportional to 82,049 and 122,936

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Solution

The third proportional to 82,049 and 122,936 is: 184,197.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,049 : 122,936 = 122,936 : x
  2. Step 2: Convert to fraction form
    82,049/122,936 = 122,936/x
  3. Step 3: Cross multiply
    82,049x = 122,936 × 122,936
  4. Step 4: Simplify right side
    82,049x = 15,113,260,096
  5. Step 5: Solve for x
    x = 15,113,260,096/82,049
  6. Step 6: Final answer
    x = 184,197.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.