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Finding the Third Proportional to 110,982 and 170,199

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Solution

The third proportional to 110,982 and 170,199 is: 261,012.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,982 : 170,199 = 170,199 : x
  2. Step 2: Convert to fraction form
    110,982/170,199 = 170,199/x
  3. Step 3: Cross multiply
    110,982x = 170,199 × 170,199
  4. Step 4: Simplify right side
    110,982x = 28,967,699,601
  5. Step 5: Solve for x
    x = 28,967,699,601/110,982
  6. Step 6: Final answer
    x = 261,012.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.