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Finding the Third Proportional to 63,902.36 and 138,383.75

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Solution

The third proportional to 63,902.36 and 138,383.75 is: 299,676.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,902.36 : 138,383.75 = 138,383.75 : x
  2. Step 2: Convert to fraction form
    63,902.36/138,383.75 = 138,383.75/x
  3. Step 3: Cross multiply
    63,902.36x = 138,383.75 × 138,383.75
  4. Step 4: Simplify right side
    63,902.36x = 19,150,063,345.19
  5. Step 5: Solve for x
    x = 19,150,063,345.19/63,902.36
  6. Step 6: Final answer
    x = 299,676.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.