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Finding the Third Proportional to 79,632 and 173,312

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Solution

The third proportional to 79,632 and 173,312 is: 377,198.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,632 : 173,312 = 173,312 : x
  2. Step 2: Convert to fraction form
    79,632/173,312 = 173,312/x
  3. Step 3: Cross multiply
    79,632x = 173,312 × 173,312
  4. Step 4: Simplify right side
    79,632x = 30,037,049,344
  5. Step 5: Solve for x
    x = 30,037,049,344/79,632
  6. Step 6: Final answer
    x = 377,198.23

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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.