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Finding the Third Proportional to 104,649 and 156,564

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Solution

The third proportional to 104,649 and 156,564 is: 234,233.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,649 : 156,564 = 156,564 : x
  2. Step 2: Convert to fraction form
    104,649/156,564 = 156,564/x
  3. Step 3: Cross multiply
    104,649x = 156,564 × 156,564
  4. Step 4: Simplify right side
    104,649x = 24,512,286,096
  5. Step 5: Solve for x
    x = 24,512,286,096/104,649
  6. Step 6: Final answer
    x = 234,233.35

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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.