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Finding the Third Proportional to 129,927 and 279,942

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Solution

The third proportional to 129,927 and 279,942 is: 603,165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,927 : 279,942 = 279,942 : x
  2. Step 2: Convert to fraction form
    129,927/279,942 = 279,942/x
  3. Step 3: Cross multiply
    129,927x = 279,942 × 279,942
  4. Step 4: Simplify right side
    129,927x = 78,367,523,364
  5. Step 5: Solve for x
    x = 78,367,523,364/129,927
  6. Step 6: Final answer
    x = 603,165.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.