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Finding the Third Proportional to 54,048.94 and 81,246.38

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Solution

The third proportional to 54,048.94 and 81,246.38 is: 122,129.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,048.94 : 81,246.38 = 81,246.38 : x
  2. Step 2: Convert to fraction form
    54,048.94/81,246.38 = 81,246.38/x
  3. Step 3: Cross multiply
    54,048.94x = 81,246.38 × 81,246.38
  4. Step 4: Simplify right side
    54,048.94x = 6,600,973,450.64
  5. Step 5: Solve for x
    x = 6,600,973,450.64/54,048.94
  6. Step 6: Final answer
    x = 122,129.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.