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Finding the Third Proportional to 103,702 and 156,505

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Solution

The third proportional to 103,702 and 156,505 is: 236,194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,702 : 156,505 = 156,505 : x
  2. Step 2: Convert to fraction form
    103,702/156,505 = 156,505/x
  3. Step 3: Cross multiply
    103,702x = 156,505 × 156,505
  4. Step 4: Simplify right side
    103,702x = 24,493,815,025
  5. Step 5: Solve for x
    x = 24,493,815,025/103,702
  6. Step 6: Final answer
    x = 236,194.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.