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Finding the Third Proportional to 63,229 and 132,305

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Solution

The third proportional to 63,229 and 132,305 is: 276,844.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,229 : 132,305 = 132,305 : x
  2. Step 2: Convert to fraction form
    63,229/132,305 = 132,305/x
  3. Step 3: Cross multiply
    63,229x = 132,305 × 132,305
  4. Step 4: Simplify right side
    63,229x = 17,504,613,025
  5. Step 5: Solve for x
    x = 17,504,613,025/63,229
  6. Step 6: Final answer
    x = 276,844.69

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.