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Finding the Third Proportional to 89,908 and 135,093

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Solution

The third proportional to 89,908 and 135,093 is: 202,986.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,908 : 135,093 = 135,093 : x
  2. Step 2: Convert to fraction form
    89,908/135,093 = 135,093/x
  3. Step 3: Cross multiply
    89,908x = 135,093 × 135,093
  4. Step 4: Simplify right side
    89,908x = 18,250,118,649
  5. Step 5: Solve for x
    x = 18,250,118,649/89,908
  6. Step 6: Final answer
    x = 202,986.59

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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.