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Finding the Third Proportional to 76.78 and 112.64

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Solution

The third proportional to 76.78 and 112.64 is: 165.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.78 : 112.64 = 112.64 : x
  2. Step 2: Convert to fraction form
    76.78/112.64 = 112.64/x
  3. Step 3: Cross multiply
    76.78x = 112.64 × 112.64
  4. Step 4: Simplify right side
    76.78x = 12,687.91
  5. Step 5: Solve for x
    x = 12,687.91/76.78
  6. Step 6: Final answer
    x = 165.25

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.