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Finding the Third Proportional to 67,549 and 156,377

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Solution

The third proportional to 67,549 and 156,377 is: 362,015.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,549 : 156,377 = 156,377 : x
  2. Step 2: Convert to fraction form
    67,549/156,377 = 156,377/x
  3. Step 3: Cross multiply
    67,549x = 156,377 × 156,377
  4. Step 4: Simplify right side
    67,549x = 24,453,766,129
  5. Step 5: Solve for x
    x = 24,453,766,129/67,549
  6. Step 6: Final answer
    x = 362,015.22

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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.