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Finding the Third Proportional to 127,647 and 212,003.25

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Solution

The third proportional to 127,647 and 212,003.25 is: 352,106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,647 : 212,003.25 = 212,003.25 : x
  2. Step 2: Convert to fraction form
    127,647/212,003.25 = 212,003.25/x
  3. Step 3: Cross multiply
    127,647x = 212,003.25 × 212,003.25
  4. Step 4: Simplify right side
    127,647x = 44,945,378,010.56
  5. Step 5: Solve for x
    x = 44,945,378,010.56/127,647
  6. Step 6: Final answer
    x = 352,106.81

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.