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Finding the Third Proportional to 65.72 and 144.09

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Solution

The third proportional to 65.72 and 144.09 is: 315.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.72 : 144.09 = 144.09 : x
  2. Step 2: Convert to fraction form
    65.72/144.09 = 144.09/x
  3. Step 3: Cross multiply
    65.72x = 144.09 × 144.09
  4. Step 4: Simplify right side
    65.72x = 20,763.01
  5. Step 5: Solve for x
    x = 20,763.01/65.72
  6. Step 6: Final answer
    x = 315.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.