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Finding the Third Proportional to 76.92 and 117.84

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Solution

The third proportional to 76.92 and 117.84 is: 180.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.92 : 117.84 = 117.84 : x
  2. Step 2: Convert to fraction form
    76.92/117.84 = 117.84/x
  3. Step 3: Cross multiply
    76.92x = 117.84 × 117.84
  4. Step 4: Simplify right side
    76.92x = 13,887.15
  5. Step 5: Solve for x
    x = 13,887.15/76.92
  6. Step 6: Final answer
    x = 180.54

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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.