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Finding the Third Proportional to 93.23 and 144.07

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Solution

The third proportional to 93.23 and 144.07 is: 222.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.23 : 144.07 = 144.07 : x
  2. Step 2: Convert to fraction form
    93.23/144.07 = 144.07/x
  3. Step 3: Cross multiply
    93.23x = 144.07 × 144.07
  4. Step 4: Simplify right side
    93.23x = 20,756.25
  5. Step 5: Solve for x
    x = 20,756.25/93.23
  6. Step 6: Final answer
    x = 222.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.