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Finding the Third Proportional to 79,475 and 173,713

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Solution

The third proportional to 79,475 and 173,713 is: 379,694.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,475 : 173,713 = 173,713 : x
  2. Step 2: Convert to fraction form
    79,475/173,713 = 173,713/x
  3. Step 3: Cross multiply
    79,475x = 173,713 × 173,713
  4. Step 4: Simplify right side
    79,475x = 30,176,206,369
  5. Step 5: Solve for x
    x = 30,176,206,369/79,475
  6. Step 6: Final answer
    x = 379,694.32

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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.