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Finding the Third Proportional to 52,581.75 and 76,472.25

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Solution

The third proportional to 52,581.75 and 76,472.25 is: 111,217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,581.75 : 76,472.25 = 76,472.25 : x
  2. Step 2: Convert to fraction form
    52,581.75/76,472.25 = 76,472.25/x
  3. Step 3: Cross multiply
    52,581.75x = 76,472.25 × 76,472.25
  4. Step 4: Simplify right side
    52,581.75x = 5,848,005,020.06
  5. Step 5: Solve for x
    x = 5,848,005,020.06/52,581.75
  6. Step 6: Final answer
    x = 111,217.39

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.