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Finding the Third Proportional to 79,192 and 168,101

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Solution

The third proportional to 79,192 and 168,101 is: 356,828.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,192 : 168,101 = 168,101 : x
  2. Step 2: Convert to fraction form
    79,192/168,101 = 168,101/x
  3. Step 3: Cross multiply
    79,192x = 168,101 × 168,101
  4. Step 4: Simplify right side
    79,192x = 28,257,946,201
  5. Step 5: Solve for x
    x = 28,257,946,201/79,192
  6. Step 6: Final answer
    x = 356,828.29

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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.