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Finding the Third Proportional to 67,314 and 136,836

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Solution

The third proportional to 67,314 and 136,836 is: 278,160.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,314 : 136,836 = 136,836 : x
  2. Step 2: Convert to fraction form
    67,314/136,836 = 136,836/x
  3. Step 3: Cross multiply
    67,314x = 136,836 × 136,836
  4. Step 4: Simplify right side
    67,314x = 18,724,090,896
  5. Step 5: Solve for x
    x = 18,724,090,896/67,314
  6. Step 6: Final answer
    x = 278,160.43

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.