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Finding the Third Proportional to 113,463 and 154,170

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Solution

The third proportional to 113,463 and 154,170 is: 209,481.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,463 : 154,170 = 154,170 : x
  2. Step 2: Convert to fraction form
    113,463/154,170 = 154,170/x
  3. Step 3: Cross multiply
    113,463x = 154,170 × 154,170
  4. Step 4: Simplify right side
    113,463x = 23,768,388,900
  5. Step 5: Solve for x
    x = 23,768,388,900/113,463
  6. Step 6: Final answer
    x = 209,481.41

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.