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Finding the Third Proportional to 76.66 and 115.95

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Solution

The third proportional to 76.66 and 115.95 is: 175.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.66 : 115.95 = 115.95 : x
  2. Step 2: Convert to fraction form
    76.66/115.95 = 115.95/x
  3. Step 3: Cross multiply
    76.66x = 115.95 × 115.95
  4. Step 4: Simplify right side
    76.66x = 13,443.32
  5. Step 5: Solve for x
    x = 13,443.32/76.66
  6. Step 6: Final answer
    x = 175.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.