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Finding the Third Proportional to 52,863.50 and 77,310.75

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Solution

The third proportional to 52,863.50 and 77,310.75 is: 113,063.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,863.50 : 77,310.75 = 77,310.75 : x
  2. Step 2: Convert to fraction form
    52,863.50/77,310.75 = 77,310.75/x
  3. Step 3: Cross multiply
    52,863.50x = 77,310.75 × 77,310.75
  4. Step 4: Simplify right side
    52,863.50x = 5,976,952,065.56
  5. Step 5: Solve for x
    x = 5,976,952,065.56/52,863.50
  6. Step 6: Final answer
    x = 113,063.87

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.