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Finding the Third Proportional to 46,704 and 101,345

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Solution

The third proportional to 46,704 and 101,345 is: 219,912.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,704 : 101,345 = 101,345 : x
  2. Step 2: Convert to fraction form
    46,704/101,345 = 101,345/x
  3. Step 3: Cross multiply
    46,704x = 101,345 × 101,345
  4. Step 4: Simplify right side
    46,704x = 10,270,809,025
  5. Step 5: Solve for x
    x = 10,270,809,025/46,704
  6. Step 6: Final answer
    x = 219,912.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.