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Finding the Third Proportional to 134,497.13 and 188,057.67

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Solution

The third proportional to 134,497.13 and 188,057.67 is: 262,947.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,497.13 : 188,057.67 = 188,057.67 : x
  2. Step 2: Convert to fraction form
    134,497.13/188,057.67 = 188,057.67/x
  3. Step 3: Cross multiply
    134,497.13x = 188,057.67 × 188,057.67
  4. Step 4: Simplify right side
    134,497.13x = 35,365,687,951.05
  5. Step 5: Solve for x
    x = 35,365,687,951.05/134,497.13
  6. Step 6: Final answer
    x = 262,947.54

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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.