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Finding the Third Proportional to 120,112 and 188,408

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Solution

The third proportional to 120,112 and 188,408 is: 295,537.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,112 : 188,408 = 188,408 : x
  2. Step 2: Convert to fraction form
    120,112/188,408 = 188,408/x
  3. Step 3: Cross multiply
    120,112x = 188,408 × 188,408
  4. Step 4: Simplify right side
    120,112x = 35,497,574,464
  5. Step 5: Solve for x
    x = 35,497,574,464/120,112
  6. Step 6: Final answer
    x = 295,537.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.