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Finding the Third Proportional to 54,827.44 and 113,963.06

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Solution

The third proportional to 54,827.44 and 113,963.06 is: 236,881.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,827.44 : 113,963.06 = 113,963.06 : x
  2. Step 2: Convert to fraction form
    54,827.44/113,963.06 = 113,963.06/x
  3. Step 3: Cross multiply
    54,827.44x = 113,963.06 × 113,963.06
  4. Step 4: Simplify right side
    54,827.44x = 12,987,579,614.38
  5. Step 5: Solve for x
    x = 12,987,579,614.38/54,827.44
  6. Step 6: Final answer
    x = 236,881.03

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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.