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Finding the Third Proportional to 72.14 and 106.73

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Solution

The third proportional to 72.14 and 106.73 is: 157.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.14 : 106.73 = 106.73 : x
  2. Step 2: Convert to fraction form
    72.14/106.73 = 106.73/x
  3. Step 3: Cross multiply
    72.14x = 106.73 × 106.73
  4. Step 4: Simplify right side
    72.14x = 11,392.23
  5. Step 5: Solve for x
    x = 11,392.23/72.14
  6. Step 6: Final answer
    x = 157.92

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.