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Finding the Third Proportional to 89,284 and 135,077

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Solution

The third proportional to 89,284 and 135,077 is: 204,356.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,284 : 135,077 = 135,077 : x
  2. Step 2: Convert to fraction form
    89,284/135,077 = 135,077/x
  3. Step 3: Cross multiply
    89,284x = 135,077 × 135,077
  4. Step 4: Simplify right side
    89,284x = 18,245,795,929
  5. Step 5: Solve for x
    x = 18,245,795,929/89,284
  6. Step 6: Final answer
    x = 204,356.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.