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Finding the Third Proportional to 93.94 and 141.47

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Solution

The third proportional to 93.94 and 141.47 is: 213.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.94 : 141.47 = 141.47 : x
  2. Step 2: Convert to fraction form
    93.94/141.47 = 141.47/x
  3. Step 3: Cross multiply
    93.94x = 141.47 × 141.47
  4. Step 4: Simplify right side
    93.94x = 20,013.41
  5. Step 5: Solve for x
    x = 20,013.41/93.94
  6. Step 6: Final answer
    x = 213.05

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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.