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Finding the Third Proportional to 134,241 and 188,137.50

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Solution

The third proportional to 134,241 and 188,137.50 is: 263,672.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,241 : 188,137.50 = 188,137.50 : x
  2. Step 2: Convert to fraction form
    134,241/188,137.50 = 188,137.50/x
  3. Step 3: Cross multiply
    134,241x = 188,137.50 × 188,137.50
  4. Step 4: Simplify right side
    134,241x = 35,395,718,906.25
  5. Step 5: Solve for x
    x = 35,395,718,906.25/134,241
  6. Step 6: Final answer
    x = 263,672.94

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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.