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Finding the Third Proportional to 36,414 and 79,416

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Solution

The third proportional to 36,414 and 79,416 is: 173,199.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,414 : 79,416 = 79,416 : x
  2. Step 2: Convert to fraction form
    36,414/79,416 = 79,416/x
  3. Step 3: Cross multiply
    36,414x = 79,416 × 79,416
  4. Step 4: Simplify right side
    36,414x = 6,306,901,056
  5. Step 5: Solve for x
    x = 6,306,901,056/36,414
  6. Step 6: Final answer
    x = 173,199.90

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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.