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Finding the Third Proportional to 54,583.88 and 113,835.38

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Solution

The third proportional to 54,583.88 and 113,835.38 is: 237,405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,583.88 : 113,835.38 = 113,835.38 : x
  2. Step 2: Convert to fraction form
    54,583.88/113,835.38 = 113,835.38/x
  3. Step 3: Cross multiply
    54,583.88x = 113,835.38 × 113,835.38
  4. Step 4: Simplify right side
    54,583.88x = 12,958,492,601.39
  5. Step 5: Solve for x
    x = 12,958,492,601.39/54,583.88
  6. Step 6: Final answer
    x = 237,405.14

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.