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Finding the Third Proportional to 54,976 and 122,544

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Solution

The third proportional to 54,976 and 122,544 is: 273,156.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,976 : 122,544 = 122,544 : x
  2. Step 2: Convert to fraction form
    54,976/122,544 = 122,544/x
  3. Step 3: Cross multiply
    54,976x = 122,544 × 122,544
  4. Step 4: Simplify right side
    54,976x = 15,017,031,936
  5. Step 5: Solve for x
    x = 15,017,031,936/54,976
  6. Step 6: Final answer
    x = 273,156.14

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.