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Finding the Third Proportional to 67,328 and 142,336

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Solution

The third proportional to 67,328 and 142,336 is: 300,908.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,328 : 142,336 = 142,336 : x
  2. Step 2: Convert to fraction form
    67,328/142,336 = 142,336/x
  3. Step 3: Cross multiply
    67,328x = 142,336 × 142,336
  4. Step 4: Simplify right side
    67,328x = 20,259,536,896
  5. Step 5: Solve for x
    x = 20,259,536,896/67,328
  6. Step 6: Final answer
    x = 300,908.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.