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Finding the Third Proportional to 43,854.75 and 68,343.75

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Solution

The third proportional to 43,854.75 and 68,343.75 is: 106,507.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,854.75 : 68,343.75 = 68,343.75 : x
  2. Step 2: Convert to fraction form
    43,854.75/68,343.75 = 68,343.75/x
  3. Step 3: Cross multiply
    43,854.75x = 68,343.75 × 68,343.75
  4. Step 4: Simplify right side
    43,854.75x = 4,670,868,164.06
  5. Step 5: Solve for x
    x = 4,670,868,164.06/43,854.75
  6. Step 6: Final answer
    x = 106,507.69

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.