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Finding the Third Proportional to 54,580.50 and 80,334.75

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Solution

The third proportional to 54,580.50 and 80,334.75 is: 118,241.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,580.50 : 80,334.75 = 80,334.75 : x
  2. Step 2: Convert to fraction form
    54,580.50/80,334.75 = 80,334.75/x
  3. Step 3: Cross multiply
    54,580.50x = 80,334.75 × 80,334.75
  4. Step 4: Simplify right side
    54,580.50x = 6,453,672,057.56
  5. Step 5: Solve for x
    x = 6,453,672,057.56/54,580.50
  6. Step 6: Final answer
    x = 118,241.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.