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Finding the Third Proportional to 115,409.25 and 173,873.25

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Solution

The third proportional to 115,409.25 and 173,873.25 is: 261,953.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,409.25 : 173,873.25 = 173,873.25 : x
  2. Step 2: Convert to fraction form
    115,409.25/173,873.25 = 173,873.25/x
  3. Step 3: Cross multiply
    115,409.25x = 173,873.25 × 173,873.25
  4. Step 4: Simplify right side
    115,409.25x = 30,231,907,065.56
  5. Step 5: Solve for x
    x = 30,231,907,065.56/115,409.25
  6. Step 6: Final answer
    x = 261,953.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.