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Finding the Third Proportional to 42,682.50 and 91,683

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Solution

The third proportional to 42,682.50 and 91,683 is: 196,937.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,682.50 : 91,683 = 91,683 : x
  2. Step 2: Convert to fraction form
    42,682.50/91,683 = 91,683/x
  3. Step 3: Cross multiply
    42,682.50x = 91,683 × 91,683
  4. Step 4: Simplify right side
    42,682.50x = 8,405,772,489
  5. Step 5: Solve for x
    x = 8,405,772,489/42,682.50
  6. Step 6: Final answer
    x = 196,937.21

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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.