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Finding the Third Proportional to 82.90 and 173.60

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Solution

The third proportional to 82.90 and 173.60 is: 363.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.90 : 173.60 = 173.60 : x
  2. Step 2: Convert to fraction form
    82.90/173.60 = 173.60/x
  3. Step 3: Cross multiply
    82.90x = 173.60 × 173.60
  4. Step 4: Simplify right side
    82.90x = 30,137.50
  5. Step 5: Solve for x
    x = 30,137.50/82.90
  6. Step 6: Final answer
    x = 363.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.