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Finding the Third Proportional to 71.28 and 111.73

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Solution

The third proportional to 71.28 and 111.73 is: 175.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.28 : 111.73 = 111.73 : x
  2. Step 2: Convert to fraction form
    71.28/111.73 = 111.73/x
  3. Step 3: Cross multiply
    71.28x = 111.73 × 111.73
  4. Step 4: Simplify right side
    71.28x = 12,482.70
  5. Step 5: Solve for x
    x = 12,482.70/71.28
  6. Step 6: Final answer
    x = 175.12

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.