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Finding the Third Proportional to 133,574.06 and 188,106.05

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Solution

The third proportional to 133,574.06 and 188,106.05 is: 264,900.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,574.06 : 188,106.05 = 188,106.05 : x
  2. Step 2: Convert to fraction form
    133,574.06/188,106.05 = 188,106.05/x
  3. Step 3: Cross multiply
    133,574.06x = 188,106.05 × 188,106.05
  4. Step 4: Simplify right side
    133,574.06x = 35,383,884,870.94
  5. Step 5: Solve for x
    x = 35,383,884,870.94/133,574.06
  6. Step 6: Final answer
    x = 264,900.87

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.