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Finding the Third Proportional to 84.48 and 102.88

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Solution

The third proportional to 84.48 and 102.88 is: 125.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.48 : 102.88 = 102.88 : x
  2. Step 2: Convert to fraction form
    84.48/102.88 = 102.88/x
  3. Step 3: Cross multiply
    84.48x = 102.88 × 102.88
  4. Step 4: Simplify right side
    84.48x = 10,585.27
  5. Step 5: Solve for x
    x = 10,585.27/84.48
  6. Step 6: Final answer
    x = 125.30

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.