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Finding the Third Proportional to 54,648 and 115,176

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Solution

The third proportional to 54,648 and 115,176 is: 242,744.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,648 : 115,176 = 115,176 : x
  2. Step 2: Convert to fraction form
    54,648/115,176 = 115,176/x
  3. Step 3: Cross multiply
    54,648x = 115,176 × 115,176
  4. Step 4: Simplify right side
    54,648x = 13,265,510,976
  5. Step 5: Solve for x
    x = 13,265,510,976/54,648
  6. Step 6: Final answer
    x = 242,744.67

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Why These Related Problems?

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