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Finding the Third Proportional to 54,767.81 and 119,673.28

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Solution

The third proportional to 54,767.81 and 119,673.28 is: 261,498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,767.81 : 119,673.28 = 119,673.28 : x
  2. Step 2: Convert to fraction form
    54,767.81/119,673.28 = 119,673.28/x
  3. Step 3: Cross multiply
    54,767.81x = 119,673.28 × 119,673.28
  4. Step 4: Simplify right side
    54,767.81x = 14,321,694,245.14
  5. Step 5: Solve for x
    x = 14,321,694,245.14/54,767.81
  6. Step 6: Final answer
    x = 261,498.38

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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.