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Finding the Third Proportional to 67,238 and 144,850

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Solution

The third proportional to 67,238 and 144,850 is: 312,048.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,238 : 144,850 = 144,850 : x
  2. Step 2: Convert to fraction form
    67,238/144,850 = 144,850/x
  3. Step 3: Cross multiply
    67,238x = 144,850 × 144,850
  4. Step 4: Simplify right side
    67,238x = 20,981,522,500
  5. Step 5: Solve for x
    x = 20,981,522,500/67,238
  6. Step 6: Final answer
    x = 312,048.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.