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Finding the Third Proportional to 122.50 and 213.75

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Solution

The third proportional to 122.50 and 213.75 is: 372.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.50 : 213.75 = 213.75 : x
  2. Step 2: Convert to fraction form
    122.50/213.75 = 213.75/x
  3. Step 3: Cross multiply
    122.50x = 213.75 × 213.75
  4. Step 4: Simplify right side
    122.50x = 45,689.06
  5. Step 5: Solve for x
    x = 45,689.06/122.50
  6. Step 6: Final answer
    x = 372.97

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.