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Finding the Third Proportional to 48,066.75 and 105,183

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Solution

The third proportional to 48,066.75 and 105,183 is: 230,168.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,066.75 : 105,183 = 105,183 : x
  2. Step 2: Convert to fraction form
    48,066.75/105,183 = 105,183/x
  3. Step 3: Cross multiply
    48,066.75x = 105,183 × 105,183
  4. Step 4: Simplify right side
    48,066.75x = 11,063,463,489
  5. Step 5: Solve for x
    x = 11,063,463,489/48,066.75
  6. Step 6: Final answer
    x = 230,168.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.