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Finding the Third Proportional to 79,514 and 168,508

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Solution

The third proportional to 79,514 and 168,508 is: 357,106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,514 : 168,508 = 168,508 : x
  2. Step 2: Convert to fraction form
    79,514/168,508 = 168,508/x
  3. Step 3: Cross multiply
    79,514x = 168,508 × 168,508
  4. Step 4: Simplify right side
    79,514x = 28,394,946,064
  5. Step 5: Solve for x
    x = 28,394,946,064/79,514
  6. Step 6: Final answer
    x = 357,106.25

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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.