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Finding the Third Proportional to 116.70 and 166.03

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Solution

The third proportional to 116.70 and 166.03 is: 236.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.70 : 166.03 = 166.03 : x
  2. Step 2: Convert to fraction form
    116.70/166.03 = 166.03/x
  3. Step 3: Cross multiply
    116.70x = 166.03 × 166.03
  4. Step 4: Simplify right side
    116.70x = 27,567.35
  5. Step 5: Solve for x
    x = 27,567.35/116.70
  6. Step 6: Final answer
    x = 236.22

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.