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Finding the Third Proportional to 94.56 and 110.94

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Solution

The third proportional to 94.56 and 110.94 is: 130.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.56 : 110.94 = 110.94 : x
  2. Step 2: Convert to fraction form
    94.56/110.94 = 110.94/x
  3. Step 3: Cross multiply
    94.56x = 110.94 × 110.94
  4. Step 4: Simplify right side
    94.56x = 12,307.13
  5. Step 5: Solve for x
    x = 12,307.13/94.56
  6. Step 6: Final answer
    x = 130.15

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.