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Finding the Third Proportional to 81,794.25 and 173,477.25

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Solution

The third proportional to 81,794.25 and 173,477.25 is: 367,927.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,794.25 : 173,477.25 = 173,477.25 : x
  2. Step 2: Convert to fraction form
    81,794.25/173,477.25 = 173,477.25/x
  3. Step 3: Cross multiply
    81,794.25x = 173,477.25 × 173,477.25
  4. Step 4: Simplify right side
    81,794.25x = 30,094,356,267.56
  5. Step 5: Solve for x
    x = 30,094,356,267.56/81,794.25
  6. Step 6: Final answer
    x = 367,927.53

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.