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Finding the Third Proportional to 79,468 and 174,108

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Solution

The third proportional to 79,468 and 174,108 is: 381,456.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,468 : 174,108 = 174,108 : x
  2. Step 2: Convert to fraction form
    79,468/174,108 = 174,108/x
  3. Step 3: Cross multiply
    79,468x = 174,108 × 174,108
  4. Step 4: Simplify right side
    79,468x = 30,313,595,664
  5. Step 5: Solve for x
    x = 30,313,595,664/79,468
  6. Step 6: Final answer
    x = 381,456.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.