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Finding the Third Proportional to 54,821.81 and 120,113.72

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Solution

The third proportional to 54,821.81 and 120,113.72 is: 263,167.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,821.81 : 120,113.72 = 120,113.72 : x
  2. Step 2: Convert to fraction form
    54,821.81/120,113.72 = 120,113.72/x
  3. Step 3: Cross multiply
    54,821.81x = 120,113.72 × 120,113.72
  4. Step 4: Simplify right side
    54,821.81x = 14,427,305,431.95
  5. Step 5: Solve for x
    x = 14,427,305,431.95/54,821.81
  6. Step 6: Final answer
    x = 263,167.25

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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.