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Finding the Third Proportional to 65.50 and 93.25

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Solution

The third proportional to 65.50 and 93.25 is: 132.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.50 : 93.25 = 93.25 : x
  2. Step 2: Convert to fraction form
    65.50/93.25 = 93.25/x
  3. Step 3: Cross multiply
    65.50x = 93.25 × 93.25
  4. Step 4: Simplify right side
    65.50x = 8,695.56
  5. Step 5: Solve for x
    x = 8,695.56/65.50
  6. Step 6: Final answer
    x = 132.76

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.