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Finding the Third Proportional to 54,163.69 and 113,248.13

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Solution

The third proportional to 54,163.69 and 113,248.13 is: 236,784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,163.69 : 113,248.13 = 113,248.13 : x
  2. Step 2: Convert to fraction form
    54,163.69/113,248.13 = 113,248.13/x
  3. Step 3: Cross multiply
    54,163.69x = 113,248.13 × 113,248.13
  4. Step 4: Simplify right side
    54,163.69x = 12,825,137,816.02
  5. Step 5: Solve for x
    x = 12,825,137,816.02/54,163.69
  6. Step 6: Final answer
    x = 236,784.80

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.