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Finding the Third Proportional to 42,723.25 and 92,020.50

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Solution

The third proportional to 42,723.25 and 92,020.50 is: 198,200.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,723.25 : 92,020.50 = 92,020.50 : x
  2. Step 2: Convert to fraction form
    42,723.25/92,020.50 = 92,020.50/x
  3. Step 3: Cross multiply
    42,723.25x = 92,020.50 × 92,020.50
  4. Step 4: Simplify right side
    42,723.25x = 8,467,772,420.25
  5. Step 5: Solve for x
    x = 8,467,772,420.25/42,723.25
  6. Step 6: Final answer
    x = 198,200.57

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.