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Finding the Third Proportional to 52,708.50 and 82,518.75

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Solution

The third proportional to 52,708.50 and 82,518.75 is: 129,188.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,708.50 : 82,518.75 = 82,518.75 : x
  2. Step 2: Convert to fraction form
    52,708.50/82,518.75 = 82,518.75/x
  3. Step 3: Cross multiply
    52,708.50x = 82,518.75 × 82,518.75
  4. Step 4: Simplify right side
    52,708.50x = 6,809,344,101.56
  5. Step 5: Solve for x
    x = 6,809,344,101.56/52,708.50
  6. Step 6: Final answer
    x = 129,188.73

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.