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Finding the Third Proportional to 54,006.75 and 111,461.06

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Solution

The third proportional to 54,006.75 and 111,461.06 is: 230,037.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,006.75 : 111,461.06 = 111,461.06 : x
  2. Step 2: Convert to fraction form
    54,006.75/111,461.06 = 111,461.06/x
  3. Step 3: Cross multiply
    54,006.75x = 111,461.06 × 111,461.06
  4. Step 4: Simplify right side
    54,006.75x = 12,423,568,453.63
  5. Step 5: Solve for x
    x = 12,423,568,453.63/54,006.75
  6. Step 6: Final answer
    x = 230,037.33

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.