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Finding the Third Proportional to 54,403.88 and 113,728.50

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Solution

The third proportional to 54,403.88 and 113,728.50 is: 237,743.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,403.88 : 113,728.50 = 113,728.50 : x
  2. Step 2: Convert to fraction form
    54,403.88/113,728.50 = 113,728.50/x
  3. Step 3: Cross multiply
    54,403.88x = 113,728.50 × 113,728.50
  4. Step 4: Simplify right side
    54,403.88x = 12,934,171,712.25
  5. Step 5: Solve for x
    x = 12,934,171,712.25/54,403.88
  6. Step 6: Final answer
    x = 237,743.57

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.