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Finding the Third Proportional to 69,494 and 135,532

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Solution

The third proportional to 69,494 and 135,532 is: 264,323.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,494 : 135,532 = 135,532 : x
  2. Step 2: Convert to fraction form
    69,494/135,532 = 135,532/x
  3. Step 3: Cross multiply
    69,494x = 135,532 × 135,532
  4. Step 4: Simplify right side
    69,494x = 18,368,923,024
  5. Step 5: Solve for x
    x = 18,368,923,024/69,494
  6. Step 6: Final answer
    x = 264,323.87

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.