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Finding the Third Proportional to 129,036 and 277,847

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Solution

The third proportional to 129,036 and 277,847 is: 598,274.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,036 : 277,847 = 277,847 : x
  2. Step 2: Convert to fraction form
    129,036/277,847 = 277,847/x
  3. Step 3: Cross multiply
    129,036x = 277,847 × 277,847
  4. Step 4: Simplify right side
    129,036x = 77,198,955,409
  5. Step 5: Solve for x
    x = 77,198,955,409/129,036
  6. Step 6: Final answer
    x = 598,274.55

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