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Finding the Third Proportional to 70.56 and 110.59

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Solution

The third proportional to 70.56 and 110.59 is: 173.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.56 : 110.59 = 110.59 : x
  2. Step 2: Convert to fraction form
    70.56/110.59 = 110.59/x
  3. Step 3: Cross multiply
    70.56x = 110.59 × 110.59
  4. Step 4: Simplify right side
    70.56x = 12,230.98
  5. Step 5: Solve for x
    x = 12,230.98/70.56
  6. Step 6: Final answer
    x = 173.34

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Why These Related Problems?

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