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Finding the Third Proportional to 61.25 and 91.75

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Solution

The third proportional to 61.25 and 91.75 is: 137.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.25 : 91.75 = 91.75 : x
  2. Step 2: Convert to fraction form
    61.25/91.75 = 91.75/x
  3. Step 3: Cross multiply
    61.25x = 91.75 × 91.75
  4. Step 4: Simplify right side
    61.25x = 8,418.06
  5. Step 5: Solve for x
    x = 8,418.06/61.25
  6. Step 6: Final answer
    x = 137.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.