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Finding the Third Proportional to 53,801 and 106,225

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Solution

The third proportional to 53,801 and 106,225 is: 209,731.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,801 : 106,225 = 106,225 : x
  2. Step 2: Convert to fraction form
    53,801/106,225 = 106,225/x
  3. Step 3: Cross multiply
    53,801x = 106,225 × 106,225
  4. Step 4: Simplify right side
    53,801x = 11,283,750,625
  5. Step 5: Solve for x
    x = 11,283,750,625/53,801
  6. Step 6: Final answer
    x = 209,731.24

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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.