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Finding the Third Proportional to 129,050 and 277,876

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Solution

The third proportional to 129,050 and 277,876 is: 598,334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,050 : 277,876 = 277,876 : x
  2. Step 2: Convert to fraction form
    129,050/277,876 = 277,876/x
  3. Step 3: Cross multiply
    129,050x = 277,876 × 277,876
  4. Step 4: Simplify right side
    129,050x = 77,215,071,376
  5. Step 5: Solve for x
    x = 77,215,071,376/129,050
  6. Step 6: Final answer
    x = 598,334.53

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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.