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Finding the Third Proportional to 36,176 and 79,354

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Solution

The third proportional to 36,176 and 79,354 is: 174,067.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,176 : 79,354 = 79,354 : x
  2. Step 2: Convert to fraction form
    36,176/79,354 = 79,354/x
  3. Step 3: Cross multiply
    36,176x = 79,354 × 79,354
  4. Step 4: Simplify right side
    36,176x = 6,297,057,316
  5. Step 5: Solve for x
    x = 6,297,057,316/36,176
  6. Step 6: Final answer
    x = 174,067.26

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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.