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Finding the Third Proportional to 43,931 and 68,084

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Solution

The third proportional to 43,931 and 68,084 is: 105,516.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,931 : 68,084 = 68,084 : x
  2. Step 2: Convert to fraction form
    43,931/68,084 = 68,084/x
  3. Step 3: Cross multiply
    43,931x = 68,084 × 68,084
  4. Step 4: Simplify right side
    43,931x = 4,635,431,056
  5. Step 5: Solve for x
    x = 4,635,431,056/43,931
  6. Step 6: Final answer
    x = 105,516.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.