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Finding the Third Proportional to 104,324.25 and 163,647.75

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Solution

The third proportional to 104,324.25 and 163,647.75 is: 256,705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,324.25 : 163,647.75 = 163,647.75 : x
  2. Step 2: Convert to fraction form
    104,324.25/163,647.75 = 163,647.75/x
  3. Step 3: Cross multiply
    104,324.25x = 163,647.75 × 163,647.75
  4. Step 4: Simplify right side
    104,324.25x = 26,780,586,080.06
  5. Step 5: Solve for x
    x = 26,780,586,080.06/104,324.25
  6. Step 6: Final answer
    x = 256,705.28

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.