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Finding the Third Proportional to 65.25 and 92

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Solution

The third proportional to 65.25 and 92 is: 129.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.25 : 92 = 92 : x
  2. Step 2: Convert to fraction form
    65.25/92 = 92/x
  3. Step 3: Cross multiply
    65.25x = 92 × 92
  4. Step 4: Simplify right side
    65.25x = 8,464
  5. Step 5: Solve for x
    x = 8,464/65.25
  6. Step 6: Final answer
    x = 129.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.