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Finding the Third Proportional to 79,512 and 173,472

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Solution

The third proportional to 79,512 and 173,472 is: 378,465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,512 : 173,472 = 173,472 : x
  2. Step 2: Convert to fraction form
    79,512/173,472 = 173,472/x
  3. Step 3: Cross multiply
    79,512x = 173,472 × 173,472
  4. Step 4: Simplify right side
    79,512x = 30,092,534,784
  5. Step 5: Solve for x
    x = 30,092,534,784/79,512
  6. Step 6: Final answer
    x = 378,465.32

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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.