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Finding the Third Proportional to 54,371.81 and 119,381.72

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Solution

The third proportional to 54,371.81 and 119,381.72 is: 262,121.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,371.81 : 119,381.72 = 119,381.72 : x
  2. Step 2: Convert to fraction form
    54,371.81/119,381.72 = 119,381.72/x
  3. Step 3: Cross multiply
    54,371.81x = 119,381.72 × 119,381.72
  4. Step 4: Simplify right side
    54,371.81x = 14,251,994,771.70
  5. Step 5: Solve for x
    x = 14,251,994,771.70/54,371.81
  6. Step 6: Final answer
    x = 262,121.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.