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Finding the Third Proportional to 75,824 and 156,512

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Solution

The third proportional to 75,824 and 156,512 is: 323,064.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,824 : 156,512 = 156,512 : x
  2. Step 2: Convert to fraction form
    75,824/156,512 = 156,512/x
  3. Step 3: Cross multiply
    75,824x = 156,512 × 156,512
  4. Step 4: Simplify right side
    75,824x = 24,496,006,144
  5. Step 5: Solve for x
    x = 24,496,006,144/75,824
  6. Step 6: Final answer
    x = 323,064.02

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.