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Finding the Third Proportional to 93.94 and 143.47

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Solution

The third proportional to 93.94 and 143.47 is: 219.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.94 : 143.47 = 143.47 : x
  2. Step 2: Convert to fraction form
    93.94/143.47 = 143.47/x
  3. Step 3: Cross multiply
    93.94x = 143.47 × 143.47
  4. Step 4: Simplify right side
    93.94x = 20,583.28
  5. Step 5: Solve for x
    x = 20,583.28/93.94
  6. Step 6: Final answer
    x = 219.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.