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Finding the Third Proportional to 103,678 and 165,052

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Solution

The third proportional to 103,678 and 165,052 is: 262,757.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,678 : 165,052 = 165,052 : x
  2. Step 2: Convert to fraction form
    103,678/165,052 = 165,052/x
  3. Step 3: Cross multiply
    103,678x = 165,052 × 165,052
  4. Step 4: Simplify right side
    103,678x = 27,242,162,704
  5. Step 5: Solve for x
    x = 27,242,162,704/103,678
  6. Step 6: Final answer
    x = 262,757.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.