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Finding the Third Proportional to 73,847 and 114,564

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Solution

The third proportional to 73,847 and 114,564 is: 177,731.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,847 : 114,564 = 114,564 : x
  2. Step 2: Convert to fraction form
    73,847/114,564 = 114,564/x
  3. Step 3: Cross multiply
    73,847x = 114,564 × 114,564
  4. Step 4: Simplify right side
    73,847x = 13,124,910,096
  5. Step 5: Solve for x
    x = 13,124,910,096/73,847
  6. Step 6: Final answer
    x = 177,731.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.