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Finding the Third Proportional to 93.13 and 192.25

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Solution

The third proportional to 93.13 and 192.25 is: 396.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.13 : 192.25 = 192.25 : x
  2. Step 2: Convert to fraction form
    93.13/192.25 = 192.25/x
  3. Step 3: Cross multiply
    93.13x = 192.25 × 192.25
  4. Step 4: Simplify right side
    93.13x = 36,960.06
  5. Step 5: Solve for x
    x = 36,960.06/93.13
  6. Step 6: Final answer
    x = 396.89

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.