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Finding the Third Proportional to 79,682 and 173,854

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Solution

The third proportional to 79,682 and 173,854 is: 379,322.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,682 : 173,854 = 173,854 : x
  2. Step 2: Convert to fraction form
    79,682/173,854 = 173,854/x
  3. Step 3: Cross multiply
    79,682x = 173,854 × 173,854
  4. Step 4: Simplify right side
    79,682x = 30,225,213,316
  5. Step 5: Solve for x
    x = 30,225,213,316/79,682
  6. Step 6: Final answer
    x = 379,322.98

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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.