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Finding the Third Proportional to 51,809 and 112,984

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Solution

The third proportional to 51,809 and 112,984 is: 246,393.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,809 : 112,984 = 112,984 : x
  2. Step 2: Convert to fraction form
    51,809/112,984 = 112,984/x
  3. Step 3: Cross multiply
    51,809x = 112,984 × 112,984
  4. Step 4: Simplify right side
    51,809x = 12,765,384,256
  5. Step 5: Solve for x
    x = 12,765,384,256/51,809
  6. Step 6: Final answer
    x = 246,393.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.