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Finding the Third Proportional to 114,978 and 168,003

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Solution

The third proportional to 114,978 and 168,003 is: 245,481.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,978 : 168,003 = 168,003 : x
  2. Step 2: Convert to fraction form
    114,978/168,003 = 168,003/x
  3. Step 3: Cross multiply
    114,978x = 168,003 × 168,003
  4. Step 4: Simplify right side
    114,978x = 28,225,008,009
  5. Step 5: Solve for x
    x = 28,225,008,009/114,978
  6. Step 6: Final answer
    x = 245,481.81

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.