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Finding the Third Proportional to 46,937 and 104,242

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Solution

The third proportional to 46,937 and 104,242 is: 231,510.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,937 : 104,242 = 104,242 : x
  2. Step 2: Convert to fraction form
    46,937/104,242 = 104,242/x
  3. Step 3: Cross multiply
    46,937x = 104,242 × 104,242
  4. Step 4: Simplify right side
    46,937x = 10,866,394,564
  5. Step 5: Solve for x
    x = 10,866,394,564/46,937
  6. Step 6: Final answer
    x = 231,510.21

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Why These Related Problems?

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