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Finding the Third Proportional to 89,268 and 122,406

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Solution

The third proportional to 89,268 and 122,406 is: 167,845.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,268 : 122,406 = 122,406 : x
  2. Step 2: Convert to fraction form
    89,268/122,406 = 122,406/x
  3. Step 3: Cross multiply
    89,268x = 122,406 × 122,406
  4. Step 4: Simplify right side
    89,268x = 14,983,228,836
  5. Step 5: Solve for x
    x = 14,983,228,836/89,268
  6. Step 6: Final answer
    x = 167,845.46

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Why These Related Problems?

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