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Finding the Third Proportional to 116.12 and 177.03

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Solution

The third proportional to 116.12 and 177.03 is: 269.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.12 : 177.03 = 177.03 : x
  2. Step 2: Convert to fraction form
    116.12/177.03 = 177.03/x
  3. Step 3: Cross multiply
    116.12x = 177.03 × 177.03
  4. Step 4: Simplify right side
    116.12x = 31,339.37
  5. Step 5: Solve for x
    x = 31,339.37/116.12
  6. Step 6: Final answer
    x = 269.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.