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Finding the Third Proportional to 93.94 and 128.22

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Solution

The third proportional to 93.94 and 128.22 is: 175.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.94 : 128.22 = 128.22 : x
  2. Step 2: Convert to fraction form
    93.94/128.22 = 128.22/x
  3. Step 3: Cross multiply
    93.94x = 128.22 × 128.22
  4. Step 4: Simplify right side
    93.94x = 16,440.05
  5. Step 5: Solve for x
    x = 16,440.05/93.94
  6. Step 6: Final answer
    x = 175.01

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.