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Finding the Third Proportional to 57,698 and 121,227

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Solution

The third proportional to 57,698 and 121,227 is: 254,705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,698 : 121,227 = 121,227 : x
  2. Step 2: Convert to fraction form
    57,698/121,227 = 121,227/x
  3. Step 3: Cross multiply
    57,698x = 121,227 × 121,227
  4. Step 4: Simplify right side
    57,698x = 14,695,985,529
  5. Step 5: Solve for x
    x = 14,695,985,529/57,698
  6. Step 6: Final answer
    x = 254,705.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.