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Finding the Third Proportional to 54,991.50 and 120,493.50

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Solution

The third proportional to 54,991.50 and 120,493.50 is: 264,016.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,991.50 : 120,493.50 = 120,493.50 : x
  2. Step 2: Convert to fraction form
    54,991.50/120,493.50 = 120,493.50/x
  3. Step 3: Cross multiply
    54,991.50x = 120,493.50 × 120,493.50
  4. Step 4: Simplify right side
    54,991.50x = 14,518,683,542.25
  5. Step 5: Solve for x
    x = 14,518,683,542.25/54,991.50
  6. Step 6: Final answer
    x = 264,016.87

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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.