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Finding the Third Proportional to 67,549 and 156,376

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Solution

The third proportional to 67,549 and 156,376 is: 362,010.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,549 : 156,376 = 156,376 : x
  2. Step 2: Convert to fraction form
    67,549/156,376 = 156,376/x
  3. Step 3: Cross multiply
    67,549x = 156,376 × 156,376
  4. Step 4: Simplify right side
    67,549x = 24,453,453,376
  5. Step 5: Solve for x
    x = 24,453,453,376/67,549
  6. Step 6: Final answer
    x = 362,010.59

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.