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Finding the Third Proportional to 63,634 and 137,756

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Solution

The third proportional to 63,634 and 137,756 is: 298,216.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,634 : 137,756 = 137,756 : x
  2. Step 2: Convert to fraction form
    63,634/137,756 = 137,756/x
  3. Step 3: Cross multiply
    63,634x = 137,756 × 137,756
  4. Step 4: Simplify right side
    63,634x = 18,976,715,536
  5. Step 5: Solve for x
    x = 18,976,715,536/63,634
  6. Step 6: Final answer
    x = 298,216.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.