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Finding the Third Proportional to 79,672 and 173,392

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Solution

The third proportional to 79,672 and 173,392 is: 377,356.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,672 : 173,392 = 173,392 : x
  2. Step 2: Convert to fraction form
    79,672/173,392 = 173,392/x
  3. Step 3: Cross multiply
    79,672x = 173,392 × 173,392
  4. Step 4: Simplify right side
    79,672x = 30,064,785,664
  5. Step 5: Solve for x
    x = 30,064,785,664/79,672
  6. Step 6: Final answer
    x = 377,356.98

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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.