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Finding the Third Proportional to 61.52 and 131.73

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Solution

The third proportional to 61.52 and 131.73 is: 282.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.52 : 131.73 = 131.73 : x
  2. Step 2: Convert to fraction form
    61.52/131.73 = 131.73/x
  3. Step 3: Cross multiply
    61.52x = 131.73 × 131.73
  4. Step 4: Simplify right side
    61.52x = 17,352.92
  5. Step 5: Solve for x
    x = 17,352.92/61.52
  6. Step 6: Final answer
    x = 282.05

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.