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Finding the Third Proportional to 48,686.50 and 75,183

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Solution

The third proportional to 48,686.50 and 75,183 is: 116,099.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,686.50 : 75,183 = 75,183 : x
  2. Step 2: Convert to fraction form
    48,686.50/75,183 = 75,183/x
  3. Step 3: Cross multiply
    48,686.50x = 75,183 × 75,183
  4. Step 4: Simplify right side
    48,686.50x = 5,652,483,489
  5. Step 5: Solve for x
    x = 5,652,483,489/48,686.50
  6. Step 6: Final answer
    x = 116,099.61

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.