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Finding the Third Proportional to 61.22 and 141.67

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Solution

The third proportional to 61.22 and 141.67 is: 327.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.22 : 141.67 = 141.67 : x
  2. Step 2: Convert to fraction form
    61.22/141.67 = 141.67/x
  3. Step 3: Cross multiply
    61.22x = 141.67 × 141.67
  4. Step 4: Simplify right side
    61.22x = 20,070.64
  5. Step 5: Solve for x
    x = 20,070.64/61.22
  6. Step 6: Final answer
    x = 327.82

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.