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Finding the Third Proportional to 43,125.50 and 93,844.50

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Solution

The third proportional to 43,125.50 and 93,844.50 is: 204,213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,125.50 : 93,844.50 = 93,844.50 : x
  2. Step 2: Convert to fraction form
    43,125.50/93,844.50 = 93,844.50/x
  3. Step 3: Cross multiply
    43,125.50x = 93,844.50 × 93,844.50
  4. Step 4: Simplify right side
    43,125.50x = 8,806,790,180.25
  5. Step 5: Solve for x
    x = 8,806,790,180.25/43,125.50
  6. Step 6: Final answer
    x = 204,213.06

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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.