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Finding the Third Proportional to 48,162 and 103,000.50

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Solution

The third proportional to 48,162 and 103,000.50 is: 220,279.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,162 : 103,000.50 = 103,000.50 : x
  2. Step 2: Convert to fraction form
    48,162/103,000.50 = 103,000.50/x
  3. Step 3: Cross multiply
    48,162x = 103,000.50 × 103,000.50
  4. Step 4: Simplify right side
    48,162x = 10,609,103,000.25
  5. Step 5: Solve for x
    x = 10,609,103,000.25/48,162
  6. Step 6: Final answer
    x = 220,279.54

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.