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Finding the Third Proportional to 42,729.75 and 93,505.50

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Solution

The third proportional to 42,729.75 and 93,505.50 is: 204,618.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,729.75 : 93,505.50 = 93,505.50 : x
  2. Step 2: Convert to fraction form
    42,729.75/93,505.50 = 93,505.50/x
  3. Step 3: Cross multiply
    42,729.75x = 93,505.50 × 93,505.50
  4. Step 4: Simplify right side
    42,729.75x = 8,743,278,530.25
  5. Step 5: Solve for x
    x = 8,743,278,530.25/42,729.75
  6. Step 6: Final answer
    x = 204,618.06

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.