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Finding the Third Proportional to 54,352.69 and 116,740.69

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Solution

The third proportional to 54,352.69 and 116,740.69 is: 250,739.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,352.69 : 116,740.69 = 116,740.69 : x
  2. Step 2: Convert to fraction form
    54,352.69/116,740.69 = 116,740.69/x
  3. Step 3: Cross multiply
    54,352.69x = 116,740.69 × 116,740.69
  4. Step 4: Simplify right side
    54,352.69x = 13,628,388,117.97
  5. Step 5: Solve for x
    x = 13,628,388,117.97/54,352.69
  6. Step 6: Final answer
    x = 250,739.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.