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Finding the Third Proportional to 76.41 and 116.28

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Solution

The third proportional to 76.41 and 116.28 is: 176.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.41 : 116.28 = 116.28 : x
  2. Step 2: Convert to fraction form
    76.41/116.28 = 116.28/x
  3. Step 3: Cross multiply
    76.41x = 116.28 × 116.28
  4. Step 4: Simplify right side
    76.41x = 13,520.87
  5. Step 5: Solve for x
    x = 13,520.87/76.41
  6. Step 6: Final answer
    x = 176.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.