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Finding the Third Proportional to 112,729.22 and 248,004

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Solution

The third proportional to 112,729.22 and 248,004 is: 545,608.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,729.22 : 248,004 = 248,004 : x
  2. Step 2: Convert to fraction form
    112,729.22/248,004 = 248,004/x
  3. Step 3: Cross multiply
    112,729.22x = 248,004 × 248,004
  4. Step 4: Simplify right side
    112,729.22x = 61,505,984,016
  5. Step 5: Solve for x
    x = 61,505,984,016/112,729.22
  6. Step 6: Final answer
    x = 545,608.18

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.