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Finding the Third Proportional to 79,741 and 173,491

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Solution

The third proportional to 79,741 and 173,491 is: 377,461.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,741 : 173,491 = 173,491 : x
  2. Step 2: Convert to fraction form
    79,741/173,491 = 173,491/x
  3. Step 3: Cross multiply
    79,741x = 173,491 × 173,491
  4. Step 4: Simplify right side
    79,741x = 30,099,127,081
  5. Step 5: Solve for x
    x = 30,099,127,081/79,741
  6. Step 6: Final answer
    x = 377,461.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.