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Finding the Third Proportional to 79,972 and 171,013

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Solution

The third proportional to 79,972 and 171,013 is: 365,696.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,972 : 171,013 = 171,013 : x
  2. Step 2: Convert to fraction form
    79,972/171,013 = 171,013/x
  3. Step 3: Cross multiply
    79,972x = 171,013 × 171,013
  4. Step 4: Simplify right side
    79,972x = 29,245,446,169
  5. Step 5: Solve for x
    x = 29,245,446,169/79,972
  6. Step 6: Final answer
    x = 365,696.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.