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Finding the Third Proportional to 76.92 and 112.36

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Solution

The third proportional to 76.92 and 112.36 is: 164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.92 : 112.36 = 112.36 : x
  2. Step 2: Convert to fraction form
    76.92/112.36 = 112.36/x
  3. Step 3: Cross multiply
    76.92x = 112.36 × 112.36
  4. Step 4: Simplify right side
    76.92x = 12,624.63
  5. Step 5: Solve for x
    x = 12,624.63/76.92
  6. Step 6: Final answer
    x = 164.12

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.