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Finding the Third Proportional to 43,069.38 and 68,352.29

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Solution

The third proportional to 43,069.38 and 68,352.29 is: 108,476.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,069.38 : 68,352.29 = 68,352.29 : x
  2. Step 2: Convert to fraction form
    43,069.38/68,352.29 = 68,352.29/x
  3. Step 3: Cross multiply
    43,069.38x = 68,352.29 × 68,352.29
  4. Step 4: Simplify right side
    43,069.38x = 4,672,035,954.09
  5. Step 5: Solve for x
    x = 4,672,035,954.09/43,069.38
  6. Step 6: Final answer
    x = 108,476.98

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.