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Finding the Third Proportional to 134,145 and 188,016

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Solution

The third proportional to 134,145 and 188,016 is: 263,520.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,145 : 188,016 = 188,016 : x
  2. Step 2: Convert to fraction form
    134,145/188,016 = 188,016/x
  3. Step 3: Cross multiply
    134,145x = 188,016 × 188,016
  4. Step 4: Simplify right side
    134,145x = 35,350,016,256
  5. Step 5: Solve for x
    x = 35,350,016,256/134,145
  6. Step 6: Final answer
    x = 263,520.94

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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.