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Finding the Third Proportional to 75.19 and 181.88

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Solution

The third proportional to 75.19 and 181.88 is: 439.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.19 : 181.88 = 181.88 : x
  2. Step 2: Convert to fraction form
    75.19/181.88 = 181.88/x
  3. Step 3: Cross multiply
    75.19x = 181.88 × 181.88
  4. Step 4: Simplify right side
    75.19x = 33,078.52
  5. Step 5: Solve for x
    x = 33,078.52/75.19
  6. Step 6: Final answer
    x = 439.95

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.