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Finding the Third Proportional to 79,644 and 173,544

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Solution

The third proportional to 79,644 and 173,544 is: 378,151.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,644 : 173,544 = 173,544 : x
  2. Step 2: Convert to fraction form
    79,644/173,544 = 173,544/x
  3. Step 3: Cross multiply
    79,644x = 173,544 × 173,544
  4. Step 4: Simplify right side
    79,644x = 30,117,519,936
  5. Step 5: Solve for x
    x = 30,117,519,936/79,644
  6. Step 6: Final answer
    x = 378,151.77

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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.