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Finding the Third Proportional to 92,104.50 and 142,227

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Solution

The third proportional to 92,104.50 and 142,227 is: 219,625.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,104.50 : 142,227 = 142,227 : x
  2. Step 2: Convert to fraction form
    92,104.50/142,227 = 142,227/x
  3. Step 3: Cross multiply
    92,104.50x = 142,227 × 142,227
  4. Step 4: Simplify right side
    92,104.50x = 20,228,519,529
  5. Step 5: Solve for x
    x = 20,228,519,529/92,104.50
  6. Step 6: Final answer
    x = 219,625.75

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.