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Finding the Third Proportional to 104,476 and 156,945

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Solution

The third proportional to 104,476 and 156,945 is: 235,764.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,476 : 156,945 = 156,945 : x
  2. Step 2: Convert to fraction form
    104,476/156,945 = 156,945/x
  3. Step 3: Cross multiply
    104,476x = 156,945 × 156,945
  4. Step 4: Simplify right side
    104,476x = 24,631,733,025
  5. Step 5: Solve for x
    x = 24,631,733,025/104,476
  6. Step 6: Final answer
    x = 235,764.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.