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Finding the Third Proportional to 129,192 and 274,044

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Solution

The third proportional to 129,192 and 274,044 is: 581,306.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,192 : 274,044 = 274,044 : x
  2. Step 2: Convert to fraction form
    129,192/274,044 = 274,044/x
  3. Step 3: Cross multiply
    129,192x = 274,044 × 274,044
  4. Step 4: Simplify right side
    129,192x = 75,100,113,936
  5. Step 5: Solve for x
    x = 75,100,113,936/129,192
  6. Step 6: Final answer
    x = 581,306.23

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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.