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Finding the Third Proportional to 106,110 and 165,623

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Solution

The third proportional to 106,110 and 165,623 is: 258,514.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,110 : 165,623 = 165,623 : x
  2. Step 2: Convert to fraction form
    106,110/165,623 = 165,623/x
  3. Step 3: Cross multiply
    106,110x = 165,623 × 165,623
  4. Step 4: Simplify right side
    106,110x = 27,430,978,129
  5. Step 5: Solve for x
    x = 27,430,978,129/106,110
  6. Step 6: Final answer
    x = 258,514.54

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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.