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Finding the Third Proportional to 53,784 and 118,183

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Solution

The third proportional to 53,784 and 118,183 is: 259,691.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,784 : 118,183 = 118,183 : x
  2. Step 2: Convert to fraction form
    53,784/118,183 = 118,183/x
  3. Step 3: Cross multiply
    53,784x = 118,183 × 118,183
  4. Step 4: Simplify right side
    53,784x = 13,967,221,489
  5. Step 5: Solve for x
    x = 13,967,221,489/53,784
  6. Step 6: Final answer
    x = 259,691.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.