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Finding the Third Proportional to 67,236 and 147,593

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Solution

The third proportional to 67,236 and 147,593 is: 323,988.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,236 : 147,593 = 147,593 : x
  2. Step 2: Convert to fraction form
    67,236/147,593 = 147,593/x
  3. Step 3: Cross multiply
    67,236x = 147,593 × 147,593
  4. Step 4: Simplify right side
    67,236x = 21,783,693,649
  5. Step 5: Solve for x
    x = 21,783,693,649/67,236
  6. Step 6: Final answer
    x = 323,988.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.