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Finding the Third Proportional to 54,356 and 114,622

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Solution

The third proportional to 54,356 and 114,622 is: 241,706.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,356 : 114,622 = 114,622 : x
  2. Step 2: Convert to fraction form
    54,356/114,622 = 114,622/x
  3. Step 3: Cross multiply
    54,356x = 114,622 × 114,622
  4. Step 4: Simplify right side
    54,356x = 13,138,202,884
  5. Step 5: Solve for x
    x = 13,138,202,884/54,356
  6. Step 6: Final answer
    x = 241,706.58

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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.