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Finding the Third Proportional to 63,062 and 131,964

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Solution

The third proportional to 63,062 and 131,964 is: 276,148.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,062 : 131,964 = 131,964 : x
  2. Step 2: Convert to fraction form
    63,062/131,964 = 131,964/x
  3. Step 3: Cross multiply
    63,062x = 131,964 × 131,964
  4. Step 4: Simplify right side
    63,062x = 17,414,497,296
  5. Step 5: Solve for x
    x = 17,414,497,296/63,062
  6. Step 6: Final answer
    x = 276,148.83

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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.