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Finding the Third Proportional to 79,396 and 171,751

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Solution

The third proportional to 79,396 and 171,751 is: 371,535.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,396 : 171,751 = 171,751 : x
  2. Step 2: Convert to fraction form
    79,396/171,751 = 171,751/x
  3. Step 3: Cross multiply
    79,396x = 171,751 × 171,751
  4. Step 4: Simplify right side
    79,396x = 29,498,406,001
  5. Step 5: Solve for x
    x = 29,498,406,001/79,396
  6. Step 6: Final answer
    x = 371,535.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.