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Finding the Third Proportional to 71.94 and 114.44

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Solution

The third proportional to 71.94 and 114.44 is: 182.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.94 : 114.44 = 114.44 : x
  2. Step 2: Convert to fraction form
    71.94/114.44 = 114.44/x
  3. Step 3: Cross multiply
    71.94x = 114.44 × 114.44
  4. Step 4: Simplify right side
    71.94x = 13,095.94
  5. Step 5: Solve for x
    x = 13,095.94/71.94
  6. Step 6: Final answer
    x = 182.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.