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Finding the Third Proportional to 46,146 and 102,676

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Solution

The third proportional to 46,146 and 102,676 is: 228,456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,146 : 102,676 = 102,676 : x
  2. Step 2: Convert to fraction form
    46,146/102,676 = 102,676/x
  3. Step 3: Cross multiply
    46,146x = 102,676 × 102,676
  4. Step 4: Simplify right side
    46,146x = 10,542,360,976
  5. Step 5: Solve for x
    x = 10,542,360,976/46,146
  6. Step 6: Final answer
    x = 228,456.66

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.