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Finding the Third Proportional to 52.50 and 80.25

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Solution

The third proportional to 52.50 and 80.25 is: 122.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.50 : 80.25 = 80.25 : x
  2. Step 2: Convert to fraction form
    52.50/80.25 = 80.25/x
  3. Step 3: Cross multiply
    52.50x = 80.25 × 80.25
  4. Step 4: Simplify right side
    52.50x = 6,440.06
  5. Step 5: Solve for x
    x = 6,440.06/52.50
  6. Step 6: Final answer
    x = 122.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.