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Finding the Third Proportional to 124.92 and 192.21

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Solution

The third proportional to 124.92 and 192.21 is: 295.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.92 : 192.21 = 192.21 : x
  2. Step 2: Convert to fraction form
    124.92/192.21 = 192.21/x
  3. Step 3: Cross multiply
    124.92x = 192.21 × 192.21
  4. Step 4: Simplify right side
    124.92x = 36,945.04
  5. Step 5: Solve for x
    x = 36,945.04/124.92
  6. Step 6: Final answer
    x = 295.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.