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Finding the Third Proportional to 67,967 and 144,187

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Solution

The third proportional to 67,967 and 144,187 is: 305,882.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,967 : 144,187 = 144,187 : x
  2. Step 2: Convert to fraction form
    67,967/144,187 = 144,187/x
  3. Step 3: Cross multiply
    67,967x = 144,187 × 144,187
  4. Step 4: Simplify right side
    67,967x = 20,789,890,969
  5. Step 5: Solve for x
    x = 20,789,890,969/67,967
  6. Step 6: Final answer
    x = 305,882.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.