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Finding the Third Proportional to 93.97 and 142.17

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Solution

The third proportional to 93.97 and 142.17 is: 215.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.97 : 142.17 = 142.17 : x
  2. Step 2: Convert to fraction form
    93.97/142.17 = 142.17/x
  3. Step 3: Cross multiply
    93.97x = 142.17 × 142.17
  4. Step 4: Simplify right side
    93.97x = 20,212.84
  5. Step 5: Solve for x
    x = 20,212.84/93.97
  6. Step 6: Final answer
    x = 215.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.