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Finding the Third Proportional to 117.25 and 181.94

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Solution

The third proportional to 117.25 and 181.94 is: 282.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.25 : 181.94 = 181.94 : x
  2. Step 2: Convert to fraction form
    117.25/181.94 = 181.94/x
  3. Step 3: Cross multiply
    117.25x = 181.94 × 181.94
  4. Step 4: Simplify right side
    117.25x = 33,101.25
  5. Step 5: Solve for x
    x = 33,101.25/117.25
  6. Step 6: Final answer
    x = 282.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.