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Finding the Third Proportional to 89,482 and 188,172

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Solution

The third proportional to 89,482 and 188,172 is: 395,707.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,482 : 188,172 = 188,172 : x
  2. Step 2: Convert to fraction form
    89,482/188,172 = 188,172/x
  3. Step 3: Cross multiply
    89,482x = 188,172 × 188,172
  4. Step 4: Simplify right side
    89,482x = 35,408,701,584
  5. Step 5: Solve for x
    x = 35,408,701,584/89,482
  6. Step 6: Final answer
    x = 395,707.53

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.