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Finding the Third Proportional to 93.94 and 147.42

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Solution

The third proportional to 93.94 and 147.42 is: 231.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.94 : 147.42 = 147.42 : x
  2. Step 2: Convert to fraction form
    93.94/147.42 = 147.42/x
  3. Step 3: Cross multiply
    93.94x = 147.42 × 147.42
  4. Step 4: Simplify right side
    93.94x = 21,733.21
  5. Step 5: Solve for x
    x = 21,733.21/93.94
  6. Step 6: Final answer
    x = 231.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.