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Finding the Third Proportional to 79,512 and 168,504

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Solution

The third proportional to 79,512 and 168,504 is: 357,098.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,512 : 168,504 = 168,504 : x
  2. Step 2: Convert to fraction form
    79,512/168,504 = 168,504/x
  3. Step 3: Cross multiply
    79,512x = 168,504 × 168,504
  4. Step 4: Simplify right side
    79,512x = 28,393,598,016
  5. Step 5: Solve for x
    x = 28,393,598,016/79,512
  6. Step 6: Final answer
    x = 357,098.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.