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Finding the Third Proportional to 88,424 and 135,218

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Solution

The third proportional to 88,424 and 135,218 is: 206,775.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,424 : 135,218 = 135,218 : x
  2. Step 2: Convert to fraction form
    88,424/135,218 = 135,218/x
  3. Step 3: Cross multiply
    88,424x = 135,218 × 135,218
  4. Step 4: Simplify right side
    88,424x = 18,283,907,524
  5. Step 5: Solve for x
    x = 18,283,907,524/88,424
  6. Step 6: Final answer
    x = 206,775.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.