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Finding the Third Proportional to 46,916 and 108,504

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Solution

The third proportional to 46,916 and 108,504 is: 250,940.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,916 : 108,504 = 108,504 : x
  2. Step 2: Convert to fraction form
    46,916/108,504 = 108,504/x
  3. Step 3: Cross multiply
    46,916x = 108,504 × 108,504
  4. Step 4: Simplify right side
    46,916x = 11,773,118,016
  5. Step 5: Solve for x
    x = 11,773,118,016/46,916
  6. Step 6: Final answer
    x = 250,940.36

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.