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Finding the Third Proportional to 46,262 and 102,876

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Solution

The third proportional to 46,262 and 102,876 is: 228,772.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,262 : 102,876 = 102,876 : x
  2. Step 2: Convert to fraction form
    46,262/102,876 = 102,876/x
  3. Step 3: Cross multiply
    46,262x = 102,876 × 102,876
  4. Step 4: Simplify right side
    46,262x = 10,583,471,376
  5. Step 5: Solve for x
    x = 10,583,471,376/46,262
  6. Step 6: Final answer
    x = 228,772.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.