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Finding the Third Proportional to 106,876 and 228,053

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Solution

The third proportional to 106,876 and 228,053 is: 486,621.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,876 : 228,053 = 228,053 : x
  2. Step 2: Convert to fraction form
    106,876/228,053 = 228,053/x
  3. Step 3: Cross multiply
    106,876x = 228,053 × 228,053
  4. Step 4: Simplify right side
    106,876x = 52,008,170,809
  5. Step 5: Solve for x
    x = 52,008,170,809/106,876
  6. Step 6: Final answer
    x = 486,621.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.