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Finding the Third Proportional to 106,115.06 and 165,629.81

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Solution

The third proportional to 106,115.06 and 165,629.81 is: 258,523.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,115.06 : 165,629.81 = 165,629.81 : x
  2. Step 2: Convert to fraction form
    106,115.06/165,629.81 = 165,629.81/x
  3. Step 3: Cross multiply
    106,115.06x = 165,629.81 × 165,629.81
  4. Step 4: Simplify right side
    106,115.06x = 27,433,234,788.79
  5. Step 5: Solve for x
    x = 27,433,234,788.79/106,115.06
  6. Step 6: Final answer
    x = 258,523.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.