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Finding the Third Proportional to 103,982 and 165,288

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Solution

The third proportional to 103,982 and 165,288 is: 262,738.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,982 : 165,288 = 165,288 : x
  2. Step 2: Convert to fraction form
    103,982/165,288 = 165,288/x
  3. Step 3: Cross multiply
    103,982x = 165,288 × 165,288
  4. Step 4: Simplify right side
    103,982x = 27,320,122,944
  5. Step 5: Solve for x
    x = 27,320,122,944/103,982
  6. Step 6: Final answer
    x = 262,738.96

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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.