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Finding the Third Proportional to 63,686 and 136,766

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Solution

The third proportional to 63,686 and 136,766 is: 293,705.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,686 : 136,766 = 136,766 : x
  2. Step 2: Convert to fraction form
    63,686/136,766 = 136,766/x
  3. Step 3: Cross multiply
    63,686x = 136,766 × 136,766
  4. Step 4: Simplify right side
    63,686x = 18,704,938,756
  5. Step 5: Solve for x
    x = 18,704,938,756/63,686
  6. Step 6: Final answer
    x = 293,705.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.