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Finding the Third Proportional to 79,934 and 172,334

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Solution

The third proportional to 79,934 and 172,334 is: 371,544.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,934 : 172,334 = 172,334 : x
  2. Step 2: Convert to fraction form
    79,934/172,334 = 172,334/x
  3. Step 3: Cross multiply
    79,934x = 172,334 × 172,334
  4. Step 4: Simplify right side
    79,934x = 29,699,007,556
  5. Step 5: Solve for x
    x = 29,699,007,556/79,934
  6. Step 6: Final answer
    x = 371,544.12

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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.