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Finding the Third Proportional to 53,809 and 106,244

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Solution

The third proportional to 53,809 and 106,244 is: 209,775.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,809 : 106,244 = 106,244 : x
  2. Step 2: Convert to fraction form
    53,809/106,244 = 106,244/x
  3. Step 3: Cross multiply
    53,809x = 106,244 × 106,244
  4. Step 4: Simplify right side
    53,809x = 11,287,787,536
  5. Step 5: Solve for x
    x = 11,287,787,536/53,809
  6. Step 6: Final answer
    x = 209,775.08

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.