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Finding the Third Proportional to 111,027 and 164,080.50

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Solution

The third proportional to 111,027 and 164,080.50 is: 242,485.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,027 : 164,080.50 = 164,080.50 : x
  2. Step 2: Convert to fraction form
    111,027/164,080.50 = 164,080.50/x
  3. Step 3: Cross multiply
    111,027x = 164,080.50 × 164,080.50
  4. Step 4: Simplify right side
    111,027x = 26,922,410,480.25
  5. Step 5: Solve for x
    x = 26,922,410,480.25/111,027
  6. Step 6: Final answer
    x = 242,485.26

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.