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Finding the Third Proportional to 46,274 and 102,900

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Solution

The third proportional to 46,274 and 102,900 is: 228,819.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,274 : 102,900 = 102,900 : x
  2. Step 2: Convert to fraction form
    46,274/102,900 = 102,900/x
  3. Step 3: Cross multiply
    46,274x = 102,900 × 102,900
  4. Step 4: Simplify right side
    46,274x = 10,588,410,000
  5. Step 5: Solve for x
    x = 10,588,410,000/46,274
  6. Step 6: Final answer
    x = 228,819.86

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