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Finding the Third Proportional to 79,714 and 119,760

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Solution

The third proportional to 79,714 and 119,760 is: 179,923.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,714 : 119,760 = 119,760 : x
  2. Step 2: Convert to fraction form
    79,714/119,760 = 119,760/x
  3. Step 3: Cross multiply
    79,714x = 119,760 × 119,760
  4. Step 4: Simplify right side
    79,714x = 14,342,457,600
  5. Step 5: Solve for x
    x = 14,342,457,600/79,714
  6. Step 6: Final answer
    x = 179,923.95

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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.