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Finding the Third Proportional to 54,841.50 and 80,165.25

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Solution

The third proportional to 54,841.50 and 80,165.25 is: 117,182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,841.50 : 80,165.25 = 80,165.25 : x
  2. Step 2: Convert to fraction form
    54,841.50/80,165.25 = 80,165.25/x
  3. Step 3: Cross multiply
    54,841.50x = 80,165.25 × 80,165.25
  4. Step 4: Simplify right side
    54,841.50x = 6,426,467,307.56
  5. Step 5: Solve for x
    x = 6,426,467,307.56/54,841.50
  6. Step 6: Final answer
    x = 117,182.56

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