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Finding the Third Proportional to 51.13 and 95.50

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Solution

The third proportional to 51.13 and 95.50 is: 178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.13 : 95.50 = 95.50 : x
  2. Step 2: Convert to fraction form
    51.13/95.50 = 95.50/x
  3. Step 3: Cross multiply
    51.13x = 95.50 × 95.50
  4. Step 4: Simplify right side
    51.13x = 9,120.25
  5. Step 5: Solve for x
    x = 9,120.25/51.13
  6. Step 6: Final answer
    x = 178.39

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.