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Finding the Third Proportional to 79,472 and 173,707

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Solution

The third proportional to 79,472 and 173,707 is: 379,682.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,472 : 173,707 = 173,707 : x
  2. Step 2: Convert to fraction form
    79,472/173,707 = 173,707/x
  3. Step 3: Cross multiply
    79,472x = 173,707 × 173,707
  4. Step 4: Simplify right side
    79,472x = 30,174,121,849
  5. Step 5: Solve for x
    x = 30,174,121,849/79,472
  6. Step 6: Final answer
    x = 379,682.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.