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Finding the Third Proportional to 134,271 and 188,223

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Solution

The third proportional to 134,271 and 188,223 is: 263,853.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,271 : 188,223 = 188,223 : x
  2. Step 2: Convert to fraction form
    134,271/188,223 = 188,223/x
  3. Step 3: Cross multiply
    134,271x = 188,223 × 188,223
  4. Step 4: Simplify right side
    134,271x = 35,427,897,729
  5. Step 5: Solve for x
    x = 35,427,897,729/134,271
  6. Step 6: Final answer
    x = 263,853.68

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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.