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Finding the Third Proportional to 79.73 and 126.56

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Solution

The third proportional to 79.73 and 126.56 is: 200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.73 : 126.56 = 126.56 : x
  2. Step 2: Convert to fraction form
    79.73/126.56 = 126.56/x
  3. Step 3: Cross multiply
    79.73x = 126.56 × 126.56
  4. Step 4: Simplify right side
    79.73x = 16,018.07
  5. Step 5: Solve for x
    x = 16,018.07/79.73
  6. Step 6: Final answer
    x = 200.89

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.