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Finding the Third Proportional to 63,494 and 135,734

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Solution

The third proportional to 63,494 and 135,734 is: 290,164.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,494 : 135,734 = 135,734 : x
  2. Step 2: Convert to fraction form
    63,494/135,734 = 135,734/x
  3. Step 3: Cross multiply
    63,494x = 135,734 × 135,734
  4. Step 4: Simplify right side
    63,494x = 18,423,718,756
  5. Step 5: Solve for x
    x = 18,423,718,756/63,494
  6. Step 6: Final answer
    x = 290,164.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.