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Finding the Third Proportional to 42,529.50 and 92,711.25

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Solution

The third proportional to 42,529.50 and 92,711.25 is: 202,103.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,529.50 : 92,711.25 = 92,711.25 : x
  2. Step 2: Convert to fraction form
    42,529.50/92,711.25 = 92,711.25/x
  3. Step 3: Cross multiply
    42,529.50x = 92,711.25 × 92,711.25
  4. Step 4: Simplify right side
    42,529.50x = 8,595,375,876.56
  5. Step 5: Solve for x
    x = 8,595,375,876.56/42,529.50
  6. Step 6: Final answer
    x = 202,103.85

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