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Finding the Third Proportional to 54,827 and 113,963

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Solution

The third proportional to 54,827 and 113,963 is: 236,882.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,827 : 113,963 = 113,963 : x
  2. Step 2: Convert to fraction form
    54,827/113,963 = 113,963/x
  3. Step 3: Cross multiply
    54,827x = 113,963 × 113,963
  4. Step 4: Simplify right side
    54,827x = 12,987,565,369
  5. Step 5: Solve for x
    x = 12,987,565,369/54,827
  6. Step 6: Final answer
    x = 236,882.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.