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Finding the Third Proportional to 79,944 and 173,136

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Solution

The third proportional to 79,944 and 173,136 is: 374,963.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,944 : 173,136 = 173,136 : x
  2. Step 2: Convert to fraction form
    79,944/173,136 = 173,136/x
  3. Step 3: Cross multiply
    79,944x = 173,136 × 173,136
  4. Step 4: Simplify right side
    79,944x = 29,976,074,496
  5. Step 5: Solve for x
    x = 29,976,074,496/79,944
  6. Step 6: Final answer
    x = 374,963.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.