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Finding the Third Proportional to 89,322 and 135,137

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Solution

The third proportional to 89,322 and 135,137 is: 204,451.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,322 : 135,137 = 135,137 : x
  2. Step 2: Convert to fraction form
    89,322/135,137 = 135,137/x
  3. Step 3: Cross multiply
    89,322x = 135,137 × 135,137
  4. Step 4: Simplify right side
    89,322x = 18,262,008,769
  5. Step 5: Solve for x
    x = 18,262,008,769/89,322
  6. Step 6: Final answer
    x = 204,451.41

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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.