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Finding the Third Proportional to 79.88 and 120.56

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Solution

The third proportional to 79.88 and 120.56 is: 181.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.88 : 120.56 = 120.56 : x
  2. Step 2: Convert to fraction form
    79.88/120.56 = 120.56/x
  3. Step 3: Cross multiply
    79.88x = 120.56 × 120.56
  4. Step 4: Simplify right side
    79.88x = 14,535.32
  5. Step 5: Solve for x
    x = 14,535.32/79.88
  6. Step 6: Final answer
    x = 181.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.