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Finding the Third Proportional to 103,645 and 156,198

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Solution

The third proportional to 103,645 and 156,198 is: 235,397.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,645 : 156,198 = 156,198 : x
  2. Step 2: Convert to fraction form
    103,645/156,198 = 156,198/x
  3. Step 3: Cross multiply
    103,645x = 156,198 × 156,198
  4. Step 4: Simplify right side
    103,645x = 24,397,815,204
  5. Step 5: Solve for x
    x = 24,397,815,204/103,645
  6. Step 6: Final answer
    x = 235,397.90

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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.