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Finding the Third Proportional to 72 and 182.25

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Solution

The third proportional to 72 and 182.25 is: 461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72 : 182.25 = 182.25 : x
  2. Step 2: Convert to fraction form
    72/182.25 = 182.25/x
  3. Step 3: Cross multiply
    72x = 182.25 × 182.25
  4. Step 4: Simplify right side
    72x = 33,215.06
  5. Step 5: Solve for x
    x = 33,215.06/72
  6. Step 6: Final answer
    x = 461.32

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.