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Finding the Third Proportional to 61.44 and 132.94

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Solution

The third proportional to 61.44 and 132.94 is: 287.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.44 : 132.94 = 132.94 : x
  2. Step 2: Convert to fraction form
    61.44/132.94 = 132.94/x
  3. Step 3: Cross multiply
    61.44x = 132.94 × 132.94
  4. Step 4: Simplify right side
    61.44x = 17,672.38
  5. Step 5: Solve for x
    x = 17,672.38/61.44
  6. Step 6: Final answer
    x = 287.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.