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Finding the Third Proportional to 71,733 and 156,588

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Solution

The third proportional to 71,733 and 156,588 is: 341,820.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,733 : 156,588 = 156,588 : x
  2. Step 2: Convert to fraction form
    71,733/156,588 = 156,588/x
  3. Step 3: Cross multiply
    71,733x = 156,588 × 156,588
  4. Step 4: Simplify right side
    71,733x = 24,519,801,744
  5. Step 5: Solve for x
    x = 24,519,801,744/71,733
  6. Step 6: Final answer
    x = 341,820.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.