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Finding the Third Proportional to 114.54 and 160.92

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Solution

The third proportional to 114.54 and 160.92 is: 226.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.54 : 160.92 = 160.92 : x
  2. Step 2: Convert to fraction form
    114.54/160.92 = 160.92/x
  3. Step 3: Cross multiply
    114.54x = 160.92 × 160.92
  4. Step 4: Simplify right side
    114.54x = 25,894.91
  5. Step 5: Solve for x
    x = 25,894.91/114.54
  6. Step 6: Final answer
    x = 226.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.