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Finding the Third Proportional to 89,296 and 135,092

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Solution

The third proportional to 89,296 and 135,092 is: 204,374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,296 : 135,092 = 135,092 : x
  2. Step 2: Convert to fraction form
    89,296/135,092 = 135,092/x
  3. Step 3: Cross multiply
    89,296x = 135,092 × 135,092
  4. Step 4: Simplify right side
    89,296x = 18,249,848,464
  5. Step 5: Solve for x
    x = 18,249,848,464/89,296
  6. Step 6: Final answer
    x = 204,374.76

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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.