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Finding the Third Proportional to 86.75 and 192.13

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Solution

The third proportional to 86.75 and 192.13 is: 425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.75 : 192.13 = 192.13 : x
  2. Step 2: Convert to fraction form
    86.75/192.13 = 192.13/x
  3. Step 3: Cross multiply
    86.75x = 192.13 × 192.13
  4. Step 4: Simplify right side
    86.75x = 36,912.02
  5. Step 5: Solve for x
    x = 36,912.02/86.75
  6. Step 6: Final answer
    x = 425.50

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.