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Finding the Third Proportional to 54,330 and 114,559.50

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Solution

The third proportional to 54,330 and 114,559.50 is: 241,558.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,330 : 114,559.50 = 114,559.50 : x
  2. Step 2: Convert to fraction form
    54,330/114,559.50 = 114,559.50/x
  3. Step 3: Cross multiply
    54,330x = 114,559.50 × 114,559.50
  4. Step 4: Simplify right side
    54,330x = 13,123,879,040.25
  5. Step 5: Solve for x
    x = 13,123,879,040.25/54,330
  6. Step 6: Final answer
    x = 241,558.61

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.