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Finding the Third Proportional to 134,238 and 188,172

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Solution

The third proportional to 134,238 and 188,172 is: 263,775.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,238 : 188,172 = 188,172 : x
  2. Step 2: Convert to fraction form
    134,238/188,172 = 188,172/x
  3. Step 3: Cross multiply
    134,238x = 188,172 × 188,172
  4. Step 4: Simplify right side
    134,238x = 35,408,701,584
  5. Step 5: Solve for x
    x = 35,408,701,584/134,238
  6. Step 6: Final answer
    x = 263,775.54

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.