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Finding the Third Proportional to 54,903 and 80,259.75

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Solution

The third proportional to 54,903 and 80,259.75 is: 117,327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,903 : 80,259.75 = 80,259.75 : x
  2. Step 2: Convert to fraction form
    54,903/80,259.75 = 80,259.75/x
  3. Step 3: Cross multiply
    54,903x = 80,259.75 × 80,259.75
  4. Step 4: Simplify right side
    54,903x = 6,441,627,470.06
  5. Step 5: Solve for x
    x = 6,441,627,470.06/54,903
  6. Step 6: Final answer
    x = 117,327.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.