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Finding the Third Proportional to 158.94 and 181.72

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Solution

The third proportional to 158.94 and 181.72 is: 207.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.94 : 181.72 = 181.72 : x
  2. Step 2: Convert to fraction form
    158.94/181.72 = 181.72/x
  3. Step 3: Cross multiply
    158.94x = 181.72 × 181.72
  4. Step 4: Simplify right side
    158.94x = 33,021.70
  5. Step 5: Solve for x
    x = 33,021.70/158.94
  6. Step 6: Final answer
    x = 207.77

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.