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Finding the Third Proportional to 68.88 and 116.94

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Solution

The third proportional to 68.88 and 116.94 is: 198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.88 : 116.94 = 116.94 : x
  2. Step 2: Convert to fraction form
    68.88/116.94 = 116.94/x
  3. Step 3: Cross multiply
    68.88x = 116.94 × 116.94
  4. Step 4: Simplify right side
    68.88x = 13,674.38
  5. Step 5: Solve for x
    x = 13,674.38/68.88
  6. Step 6: Final answer
    x = 198.54

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.