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Finding the Third Proportional to 54,576 and 114,984

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Solution

The third proportional to 54,576 and 114,984 is: 242,255.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,576 : 114,984 = 114,984 : x
  2. Step 2: Convert to fraction form
    54,576/114,984 = 114,984/x
  3. Step 3: Cross multiply
    54,576x = 114,984 × 114,984
  4. Step 4: Simplify right side
    54,576x = 13,221,320,256
  5. Step 5: Solve for x
    x = 13,221,320,256/54,576
  6. Step 6: Final answer
    x = 242,255.21

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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.