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Finding the Third Proportional to 94.45 and 142.86

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Solution

The third proportional to 94.45 and 142.86 is: 216.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.45 : 142.86 = 142.86 : x
  2. Step 2: Convert to fraction form
    94.45/142.86 = 142.86/x
  3. Step 3: Cross multiply
    94.45x = 142.86 × 142.86
  4. Step 4: Simplify right side
    94.45x = 20,408.24
  5. Step 5: Solve for x
    x = 20,408.24/94.45
  6. Step 6: Final answer
    x = 216.08

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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.