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Finding the Third Proportional to 42,824.25 and 68,196.38

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Solution

The third proportional to 42,824.25 and 68,196.38 is: 108,600.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,824.25 : 68,196.38 = 68,196.38 : x
  2. Step 2: Convert to fraction form
    42,824.25/68,196.38 = 68,196.38/x
  3. Step 3: Cross multiply
    42,824.25x = 68,196.38 × 68,196.38
  4. Step 4: Simplify right side
    42,824.25x = 4,650,745,563.14
  5. Step 5: Solve for x
    x = 4,650,745,563.14/42,824.25
  6. Step 6: Final answer
    x = 108,600.75

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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.