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Finding the Third Proportional to 79,829 and 119,755

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Solution

The third proportional to 79,829 and 119,755 is: 179,649.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,829 : 119,755 = 119,755 : x
  2. Step 2: Convert to fraction form
    79,829/119,755 = 119,755/x
  3. Step 3: Cross multiply
    79,829x = 119,755 × 119,755
  4. Step 4: Simplify right side
    79,829x = 14,341,260,025
  5. Step 5: Solve for x
    x = 14,341,260,025/79,829
  6. Step 6: Final answer
    x = 179,649.75

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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.