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Finding the Third Proportional to 51,662.25 and 109,524.38

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Solution

The third proportional to 51,662.25 and 109,524.38 is: 232,192.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,662.25 : 109,524.38 = 109,524.38 : x
  2. Step 2: Convert to fraction form
    51,662.25/109,524.38 = 109,524.38/x
  3. Step 3: Cross multiply
    51,662.25x = 109,524.38 × 109,524.38
  4. Step 4: Simplify right side
    51,662.25x = 11,995,588,719.14
  5. Step 5: Solve for x
    x = 11,995,588,719.14/51,662.25
  6. Step 6: Final answer
    x = 232,192.53

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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.