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Finding the Third Proportional to 117.75 and 165.88

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Solution

The third proportional to 117.75 and 165.88 is: 233.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.75 : 165.88 = 165.88 : x
  2. Step 2: Convert to fraction form
    117.75/165.88 = 165.88/x
  3. Step 3: Cross multiply
    117.75x = 165.88 × 165.88
  4. Step 4: Simplify right side
    117.75x = 27,514.52
  5. Step 5: Solve for x
    x = 27,514.52/117.75
  6. Step 6: Final answer
    x = 233.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.