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Finding the Third Proportional to 55,249.13 and 120,947.25

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Solution

The third proportional to 55,249.13 and 120,947.25 is: 264,768.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,249.13 : 120,947.25 = 120,947.25 : x
  2. Step 2: Convert to fraction form
    55,249.13/120,947.25 = 120,947.25/x
  3. Step 3: Cross multiply
    55,249.13x = 120,947.25 × 120,947.25
  4. Step 4: Simplify right side
    55,249.13x = 14,628,237,282.56
  5. Step 5: Solve for x
    x = 14,628,237,282.56/55,249.13
  6. Step 6: Final answer
    x = 264,768.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.