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Finding the Third Proportional to 53,057.53 and 114,380.86

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Solution

The third proportional to 53,057.53 and 114,380.86 is: 246,581.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,057.53 : 114,380.86 = 114,380.86 : x
  2. Step 2: Convert to fraction form
    53,057.53/114,380.86 = 114,380.86/x
  3. Step 3: Cross multiply
    53,057.53x = 114,380.86 × 114,380.86
  4. Step 4: Simplify right side
    53,057.53x = 13,082,980,991.36
  5. Step 5: Solve for x
    x = 13,082,980,991.36/53,057.53
  6. Step 6: Final answer
    x = 246,581.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.