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Finding the Third Proportional to 54,322 and 115,249

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Solution

The third proportional to 54,322 and 115,249 is: 244,511.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,322 : 115,249 = 115,249 : x
  2. Step 2: Convert to fraction form
    54,322/115,249 = 115,249/x
  3. Step 3: Cross multiply
    54,322x = 115,249 × 115,249
  4. Step 4: Simplify right side
    54,322x = 13,282,332,001
  5. Step 5: Solve for x
    x = 13,282,332,001/54,322
  6. Step 6: Final answer
    x = 244,511.10

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Why These Related Problems?

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