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Finding the Third Proportional to 106,968.94 and 165,066.19

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Solution

The third proportional to 106,968.94 and 165,066.19 is: 254,717.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,968.94 : 165,066.19 = 165,066.19 : x
  2. Step 2: Convert to fraction form
    106,968.94/165,066.19 = 165,066.19/x
  3. Step 3: Cross multiply
    106,968.94x = 165,066.19 × 165,066.19
  4. Step 4: Simplify right side
    106,968.94x = 27,246,846,255.79
  5. Step 5: Solve for x
    x = 27,246,846,255.79/106,968.94
  6. Step 6: Final answer
    x = 254,717.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.