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Finding the Third Proportional to 117.75 and 179.63

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Solution

The third proportional to 117.75 and 179.63 is: 274.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.75 : 179.63 = 179.63 : x
  2. Step 2: Convert to fraction form
    117.75/179.63 = 179.63/x
  3. Step 3: Cross multiply
    117.75x = 179.63 × 179.63
  4. Step 4: Simplify right side
    117.75x = 32,265.14
  5. Step 5: Solve for x
    x = 32,265.14/117.75
  6. Step 6: Final answer
    x = 274.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.