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Finding the Third Proportional to 73,906 and 156,635

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Solution

The third proportional to 73,906 and 156,635 is: 331,969.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,906 : 156,635 = 156,635 : x
  2. Step 2: Convert to fraction form
    73,906/156,635 = 156,635/x
  3. Step 3: Cross multiply
    73,906x = 156,635 × 156,635
  4. Step 4: Simplify right side
    73,906x = 24,534,523,225
  5. Step 5: Solve for x
    x = 24,534,523,225/73,906
  6. Step 6: Final answer
    x = 331,969.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.