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Finding the Third Proportional to 92,096 and 135,122

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Solution

The third proportional to 92,096 and 135,122 is: 198,249.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,096 : 135,122 = 135,122 : x
  2. Step 2: Convert to fraction form
    92,096/135,122 = 135,122/x
  3. Step 3: Cross multiply
    92,096x = 135,122 × 135,122
  4. Step 4: Simplify right side
    92,096x = 18,257,954,884
  5. Step 5: Solve for x
    x = 18,257,954,884/92,096
  6. Step 6: Final answer
    x = 198,249.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.