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Finding the Third Proportional to 48,319.50 and 104,685

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Solution

The third proportional to 48,319.50 and 104,685 is: 226,801.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,319.50 : 104,685 = 104,685 : x
  2. Step 2: Convert to fraction form
    48,319.50/104,685 = 104,685/x
  3. Step 3: Cross multiply
    48,319.50x = 104,685 × 104,685
  4. Step 4: Simplify right side
    48,319.50x = 10,958,949,225
  5. Step 5: Solve for x
    x = 10,958,949,225/48,319.50
  6. Step 6: Final answer
    x = 226,801.79

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.