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Finding the Third Proportional to 53,351.75 and 114,310.38

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Solution

The third proportional to 53,351.75 and 114,310.38 is: 244,919.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,351.75 : 114,310.38 = 114,310.38 : x
  2. Step 2: Convert to fraction form
    53,351.75/114,310.38 = 114,310.38/x
  3. Step 3: Cross multiply
    53,351.75x = 114,310.38 × 114,310.38
  4. Step 4: Simplify right side
    53,351.75x = 13,066,861,832.64
  5. Step 5: Solve for x
    x = 13,066,861,832.64/53,351.75
  6. Step 6: Final answer
    x = 244,919.09

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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.