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Finding the Third Proportional to 63,541 and 138,149

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Solution

The third proportional to 63,541 and 138,149 is: 300,359.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,541 : 138,149 = 138,149 : x
  2. Step 2: Convert to fraction form
    63,541/138,149 = 138,149/x
  3. Step 3: Cross multiply
    63,541x = 138,149 × 138,149
  4. Step 4: Simplify right side
    63,541x = 19,085,146,201
  5. Step 5: Solve for x
    x = 19,085,146,201/63,541
  6. Step 6: Final answer
    x = 300,359.55

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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.