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Finding the Third Proportional to 134.20 and 186.52

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Solution

The third proportional to 134.20 and 186.52 is: 259.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.20 : 186.52 = 186.52 : x
  2. Step 2: Convert to fraction form
    134.20/186.52 = 186.52/x
  3. Step 3: Cross multiply
    134.20x = 186.52 × 186.52
  4. Step 4: Simplify right side
    134.20x = 34,790.26
  5. Step 5: Solve for x
    x = 34,790.26/134.20
  6. Step 6: Final answer
    x = 259.25

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.