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Finding the Third Proportional to 46,457 and 102,163

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Solution

The third proportional to 46,457 and 102,163 is: 224,665.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,457 : 102,163 = 102,163 : x
  2. Step 2: Convert to fraction form
    46,457/102,163 = 102,163/x
  3. Step 3: Cross multiply
    46,457x = 102,163 × 102,163
  4. Step 4: Simplify right side
    46,457x = 10,437,278,569
  5. Step 5: Solve for x
    x = 10,437,278,569/46,457
  6. Step 6: Final answer
    x = 224,665.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.