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Finding the Third Proportional to 103,456 and 165,296

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Solution

The third proportional to 103,456 and 165,296 is: 264,100.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,456 : 165,296 = 165,296 : x
  2. Step 2: Convert to fraction form
    103,456/165,296 = 165,296/x
  3. Step 3: Cross multiply
    103,456x = 165,296 × 165,296
  4. Step 4: Simplify right side
    103,456x = 27,322,767,616
  5. Step 5: Solve for x
    x = 27,322,767,616/103,456
  6. Step 6: Final answer
    x = 264,100.37

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.