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Finding the Third Proportional to 46,462 and 102,302

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Solution

The third proportional to 46,462 and 102,302 is: 225,252.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,462 : 102,302 = 102,302 : x
  2. Step 2: Convert to fraction form
    46,462/102,302 = 102,302/x
  3. Step 3: Cross multiply
    46,462x = 102,302 × 102,302
  4. Step 4: Simplify right side
    46,462x = 10,465,699,204
  5. Step 5: Solve for x
    x = 10,465,699,204/46,462
  6. Step 6: Final answer
    x = 225,252.88

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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.