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Finding the Third Proportional to 75,863 and 156,627

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Solution

The third proportional to 75,863 and 156,627 is: 323,372.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,863 : 156,627 = 156,627 : x
  2. Step 2: Convert to fraction form
    75,863/156,627 = 156,627/x
  3. Step 3: Cross multiply
    75,863x = 156,627 × 156,627
  4. Step 4: Simplify right side
    75,863x = 24,532,017,129
  5. Step 5: Solve for x
    x = 24,532,017,129/75,863
  6. Step 6: Final answer
    x = 323,372.62

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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.