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Finding the Third Proportional to 112,941 and 165,165

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Solution

The third proportional to 112,941 and 165,165 is: 241,537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,941 : 165,165 = 165,165 : x
  2. Step 2: Convert to fraction form
    112,941/165,165 = 165,165/x
  3. Step 3: Cross multiply
    112,941x = 165,165 × 165,165
  4. Step 4: Simplify right side
    112,941x = 27,279,477,225
  5. Step 5: Solve for x
    x = 27,279,477,225/112,941
  6. Step 6: Final answer
    x = 241,537.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.