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Finding the Third Proportional to 54,232.88 and 117,589.88

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Solution

The third proportional to 54,232.88 and 117,589.88 is: 254,963.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,232.88 : 117,589.88 = 117,589.88 : x
  2. Step 2: Convert to fraction form
    54,232.88/117,589.88 = 117,589.88/x
  3. Step 3: Cross multiply
    54,232.88x = 117,589.88 × 117,589.88
  4. Step 4: Simplify right side
    54,232.88x = 13,827,378,702.52
  5. Step 5: Solve for x
    x = 13,827,378,702.52/54,232.88
  6. Step 6: Final answer
    x = 254,963.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.