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Finding the Third Proportional to 79,532 and 173,059

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Solution

The third proportional to 79,532 and 173,059 is: 376,570.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,532 : 173,059 = 173,059 : x
  2. Step 2: Convert to fraction form
    79,532/173,059 = 173,059/x
  3. Step 3: Cross multiply
    79,532x = 173,059 × 173,059
  4. Step 4: Simplify right side
    79,532x = 29,949,417,481
  5. Step 5: Solve for x
    x = 29,949,417,481/79,532
  6. Step 6: Final answer
    x = 376,570.66

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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.