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Finding the Third Proportional to 74,940.19 and 111,268.69

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Solution

The third proportional to 74,940.19 and 111,268.69 is: 165,208.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,940.19 : 111,268.69 = 111,268.69 : x
  2. Step 2: Convert to fraction form
    74,940.19/111,268.69 = 111,268.69/x
  3. Step 3: Cross multiply
    74,940.19x = 111,268.69 × 111,268.69
  4. Step 4: Simplify right side
    74,940.19x = 12,380,720,817.97
  5. Step 5: Solve for x
    x = 12,380,720,817.97/74,940.19
  6. Step 6: Final answer
    x = 165,208.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.