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Finding the Third Proportional to 106,159 and 165,698

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Solution

The third proportional to 106,159 and 165,698 is: 258,629.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,159 : 165,698 = 165,698 : x
  2. Step 2: Convert to fraction form
    106,159/165,698 = 165,698/x
  3. Step 3: Cross multiply
    106,159x = 165,698 × 165,698
  4. Step 4: Simplify right side
    106,159x = 27,455,827,204
  5. Step 5: Solve for x
    x = 27,455,827,204/106,159
  6. Step 6: Final answer
    x = 258,629.29

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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.