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Finding the Third Proportional to 124.97 and 182.95

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Solution

The third proportional to 124.97 and 182.95 is: 267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.97 : 182.95 = 182.95 : x
  2. Step 2: Convert to fraction form
    124.97/182.95 = 182.95/x
  3. Step 3: Cross multiply
    124.97x = 182.95 × 182.95
  4. Step 4: Simplify right side
    124.97x = 33,471.85
  5. Step 5: Solve for x
    x = 33,471.85/124.97
  6. Step 6: Final answer
    x = 267.84

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Why These Related Problems?

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