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Finding the Third Proportional to 88.13 and 173.88

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Solution

The third proportional to 88.13 and 173.88 is: 343.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.13 : 173.88 = 173.88 : x
  2. Step 2: Convert to fraction form
    88.13/173.88 = 173.88/x
  3. Step 3: Cross multiply
    88.13x = 173.88 × 173.88
  4. Step 4: Simplify right side
    88.13x = 30,232.52
  5. Step 5: Solve for x
    x = 30,232.52/88.13
  6. Step 6: Final answer
    x = 343.06

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.