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Finding the Third Proportional to 106,158 and 165,696

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Solution

The third proportional to 106,158 and 165,696 is: 258,625.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,158 : 165,696 = 165,696 : x
  2. Step 2: Convert to fraction form
    106,158/165,696 = 165,696/x
  3. Step 3: Cross multiply
    106,158x = 165,696 × 165,696
  4. Step 4: Simplify right side
    106,158x = 27,455,164,416
  5. Step 5: Solve for x
    x = 27,455,164,416/106,158
  6. Step 6: Final answer
    x = 258,625.49

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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.