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Finding the Third Proportional to 88.94 and 165.06

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Solution

The third proportional to 88.94 and 165.06 is: 306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.94 : 165.06 = 165.06 : x
  2. Step 2: Convert to fraction form
    88.94/165.06 = 165.06/x
  3. Step 3: Cross multiply
    88.94x = 165.06 × 165.06
  4. Step 4: Simplify right side
    88.94x = 27,245.63
  5. Step 5: Solve for x
    x = 27,245.63/88.94
  6. Step 6: Final answer
    x = 306.35

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.