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Finding the Third Proportional to 54,750 and 80,175

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Solution

The third proportional to 54,750 and 80,175 is: 117,406.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,750 : 80,175 = 80,175 : x
  2. Step 2: Convert to fraction form
    54,750/80,175 = 80,175/x
  3. Step 3: Cross multiply
    54,750x = 80,175 × 80,175
  4. Step 4: Simplify right side
    54,750x = 6,428,030,625
  5. Step 5: Solve for x
    x = 6,428,030,625/54,750
  6. Step 6: Final answer
    x = 117,406.95

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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.