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Finding the Third Proportional to 117.20 and 171.98

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Solution

The third proportional to 117.20 and 171.98 is: 252.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.20 : 171.98 = 171.98 : x
  2. Step 2: Convert to fraction form
    117.20/171.98 = 171.98/x
  3. Step 3: Cross multiply
    117.20x = 171.98 × 171.98
  4. Step 4: Simplify right side
    117.20x = 29,578.63
  5. Step 5: Solve for x
    x = 29,578.63/117.20
  6. Step 6: Final answer
    x = 252.37

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.