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Finding the Third Proportional to 54,353 and 114,601

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Solution

The third proportional to 54,353 and 114,601 is: 241,631.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,353 : 114,601 = 114,601 : x
  2. Step 2: Convert to fraction form
    54,353/114,601 = 114,601/x
  3. Step 3: Cross multiply
    54,353x = 114,601 × 114,601
  4. Step 4: Simplify right side
    54,353x = 13,133,389,201
  5. Step 5: Solve for x
    x = 13,133,389,201/54,353
  6. Step 6: Final answer
    x = 241,631.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.