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Finding the Third Proportional to 63,518 and 136,744

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Solution

The third proportional to 63,518 and 136,744 is: 294,387.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,518 : 136,744 = 136,744 : x
  2. Step 2: Convert to fraction form
    63,518/136,744 = 136,744/x
  3. Step 3: Cross multiply
    63,518x = 136,744 × 136,744
  4. Step 4: Simplify right side
    63,518x = 18,698,921,536
  5. Step 5: Solve for x
    x = 18,698,921,536/63,518
  6. Step 6: Final answer
    x = 294,387.76

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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.