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Finding the Third Proportional to 54,809.79 and 120,093.26

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Solution

The third proportional to 54,809.79 and 120,093.26 is: 263,135.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,809.79 : 120,093.26 = 120,093.26 : x
  2. Step 2: Convert to fraction form
    54,809.79/120,093.26 = 120,093.26/x
  3. Step 3: Cross multiply
    54,809.79x = 120,093.26 × 120,093.26
  4. Step 4: Simplify right side
    54,809.79x = 14,422,390,572.02
  5. Step 5: Solve for x
    x = 14,422,390,572.02/54,809.79
  6. Step 6: Final answer
    x = 263,135.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.