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Finding the Third Proportional to 67,425.50 and 136,765

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Solution

The third proportional to 67,425.50 and 136,765 is: 277,412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,425.50 : 136,765 = 136,765 : x
  2. Step 2: Convert to fraction form
    67,425.50/136,765 = 136,765/x
  3. Step 3: Cross multiply
    67,425.50x = 136,765 × 136,765
  4. Step 4: Simplify right side
    67,425.50x = 18,704,665,225
  5. Step 5: Solve for x
    x = 18,704,665,225/67,425.50
  6. Step 6: Final answer
    x = 277,412.33

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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.